5.5 - Lesson - Graphing Linear Inequalities Video Lesson

  Рет қаралды 1,069,199

MrJSaintGermain

MrJSaintGermain

13 жыл бұрын

This is a video lesson on Graphing Linear Inequalities.

Пікірлер: 854
@Chelsea.Stevie
@Chelsea.Stevie 8 жыл бұрын
Thank you. I am here because my teacher sucks at teaching. He teaches in a way that I can't understand at all.
@aliebachand1664
@aliebachand1664 8 жыл бұрын
+chelsea eisele just like mine. Like, da fuq?
@Eren92812
@Eren92812 8 жыл бұрын
+alie bachand isnt a coincidence almost every teacher sucks
@aliebachand1664
@aliebachand1664 8 жыл бұрын
+Alexander Power4 YYYYYYYYYYYAAAAAAAAAAAAAAAAAAAAAASSSSSSSSSSSSSSSSSSSSSSSS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
@simonbaker9802
@simonbaker9802 8 жыл бұрын
+chelsea eisele SAME i hate it when teachers are too lazy to teach themselfs xD
@brenndanhennigar4554
@brenndanhennigar4554 8 жыл бұрын
+chelsea eisele guess who can relate to that lol
@JJSmalls
@JJSmalls 8 жыл бұрын
Thank you for clarifying this 5 years ago... my textbook made it seem like a Houdini trick.
@NinjaTrollzTV
@NinjaTrollzTV 8 жыл бұрын
w
@KiiDSkiiLLz
@KiiDSkiiLLz 5 жыл бұрын
W
@zentv1628
@zentv1628 5 жыл бұрын
W
@karab7461
@karab7461 5 жыл бұрын
Same!!! 😐
@NJMilitia
@NJMilitia 5 жыл бұрын
*W*
@user-ui8sp5th4g
@user-ui8sp5th4g 6 жыл бұрын
why can't i get teachers like you. I always get a teacher that can't explain something and over complicate it to the point where i find myself shutting down bc i don't understand it. You broke it down so perfect and your 3 steps to how to solve the problem are what made this process so easy. Thank you so much. Its teachers like you that make learning interesting and i want to say keep on making these videos you're helping so many people.
@skeptosgaming8406
@skeptosgaming8406 3 жыл бұрын
Mʀ.Rᴀʜɪᴍ︵兔
@alq3796
@alq3796 9 жыл бұрын
it's either i don't listen in class or the teacher doesn't know how to teach this, cause i just come look up a youtube video and know everything thanks Mr Germain.
@Anonymous-sf5yv
@Anonymous-sf5yv 7 жыл бұрын
Same been confused on this for a week and understood it from a few simple youtube videos
@Havy9287
@Havy9287 6 жыл бұрын
probably because when we're in class we are focus on coping the notes down when our professor is talking it about the lession and on KZbin we can just replay the video until we get it, but that's what I think.
@zinnialai2839
@zinnialai2839 9 жыл бұрын
13.12 minutes of my life well spent.
@aliebachand1664
@aliebachand1664 8 жыл бұрын
+zinnia Lai YES
@deepducc4145
@deepducc4145 5 жыл бұрын
13.13***
@empanadasfritas7142
@empanadasfritas7142 5 жыл бұрын
I understand. His way to explain math is literally ballistics. How a bullet travels. Don't worry. There's better teachers.
@lettilibra56
@lettilibra56 5 жыл бұрын
yes - really useful
@thetinker398
@thetinker398 3 жыл бұрын
@@deepducc4145 13:13*
@alwayshatingyou7676
@alwayshatingyou7676 9 жыл бұрын
Wow.. hour in class dont know. I watched dis and knew everthing
@aliebachand1664
@aliebachand1664 8 жыл бұрын
+AlwaysHating You YYYYYYYYYYYYYYYYYYYYAAAAAAAAAAAAAAAAAASSSSSSSSSSSSSSSS
@wontonsoup4916
@wontonsoup4916 6 жыл бұрын
Absolutely lol. I think it's the fact that there are so many distractions in a classroom and the class is just dragged on for so long it makes you sleepy. Whereas youtube videos are just right to the point.
@GoldWings37
@GoldWings37 6 жыл бұрын
same
@Manicaflo
@Manicaflo 3 жыл бұрын
Hello alwayshating you, how’s life 6 years later? I’m learning this rn
@Spurhope
@Spurhope Ай бұрын
@@wontonsoup4916 possibly but this teacher is good. It really can make a difference in learning if a teacher can teach it well by simplifying, breaking it down.
@mahmudmohammadyasin9748
@mahmudmohammadyasin9748 9 жыл бұрын
Spent 3hours in school today didn't learn anything! Spent 13min watching ur video feel like an Albert Einstein! Thank you so much!
@cudoonbarwaaqo7314
@cudoonbarwaaqo7314 5 жыл бұрын
Mahmud Mohammad Yasin Ani xata wa fahmay school ka wax maka fahmin😂
@Manicaflo
@Manicaflo 3 жыл бұрын
How’s life after 6 years?
@xToxic
@xToxic 2 жыл бұрын
@@Manicaflo fr
@BimmertechG01
@BimmertechG01 7 жыл бұрын
Lol I learned more watching this video than I have in 2 class periods for math. Thanks for the helpful video! It's currently 1 AM near me and I need to take a test on this stuff tomorrow. It's worth basically all of my grade. Update: I got an 88% lmao
@curlyheaad1378
@curlyheaad1378 7 жыл бұрын
Aimzyyy same!😪
@fusarcie3259
@fusarcie3259 7 жыл бұрын
Aimzyyy same lol
@rashedalzghoul3533
@rashedalzghoul3533 6 жыл бұрын
Prinz lucky igot 70
@luuukaain4133
@luuukaain4133 6 жыл бұрын
LOLPRINZ U DUMB SHIT
@GoldWings37
@GoldWings37 6 жыл бұрын
i no
@YourProfessionalSquare
@YourProfessionalSquare 9 жыл бұрын
Summer classes are 2 hours learned this shit in 13 min
@RiverFerret
@RiverFerret 6 жыл бұрын
yay for public schooling
@rashedalzghoul3533
@rashedalzghoul3533 6 жыл бұрын
LotsaCommas same fuck school
@roo74898
@roo74898 3 жыл бұрын
I've been stuck at home babysitting and my teacher sends me hour long videos that my Impatient ass cant sit through so these are life savers for me lmao
@Sammy97658
@Sammy97658 3 жыл бұрын
I had a hard time shading graph. After watching this video, I got enough knowledge of how to shade it. You are the best. Thank you for all your effort. Really appreciate it. :)
@thenx34
@thenx34 3 жыл бұрын
Almost 10 years later and this is still way more helpful than anything my teachers have taught me
@ImNotCopying
@ImNotCopying 10 жыл бұрын
My Algebra teacher was pregnant, so she had to leave. We now have a recent college graduate teaching us. She is in her 40s, and this her first teaching job, so typically she messes up sometimes. She doesn't realize the mistakes she makes, so our whole class gets extremely confused. Just to add on to it, she has a very thick accent that is hard for us to understand. So, basically I've been learning through KZbin. Thank you so much for this :)
@zic24
@zic24 3 жыл бұрын
@@Alex20272 she was not in college she said her sub teacher was in college
@brocklesnerd1283
@brocklesnerd1283 5 жыл бұрын
0:03 that sweet feeling as a homeschooled, that you accomplished something all by yourself feels good man
@patriziacastillo4984
@patriziacastillo4984 9 жыл бұрын
Hi there, did you notice that n the last 3 questions in the number 2 you put "3x=" instead "3y=". It could be confused to beginners students. thanks for your lessons, are really great!
@cesarhays7638
@cesarhays7638 9 жыл бұрын
Yes I saw that too i was confuzled
@diliraupova9683
@diliraupova9683 9 жыл бұрын
Patricia Castillo yes, I though I was doing it wrong too.
@korrinjohnson8992
@korrinjohnson8992 7 жыл бұрын
Patricia Castillo he made a mistake....😀. but speaking as a teacher.... this is why we show our work.
@Alex-ns6hj
@Alex-ns6hj 6 жыл бұрын
Agreed
@kandicewright9247
@kandicewright9247 6 жыл бұрын
Patricia Castillo. Yes he sure did
@gira4664
@gira4664 4 жыл бұрын
8 years later and this video is still helping people
@maniasamawati5571
@maniasamawati5571 3 ай бұрын
13 now!
@nolaz010
@nolaz010 7 жыл бұрын
This is my 6th time taking a Trig class. Thank you very much for your help! You seem to be the only professor who can explain the concepts of pre-calc to me!
@Stariie3
@Stariie3 Жыл бұрын
wow this video has been here for 12 years and it's still helping so many people.
@mackenzielong1784
@mackenzielong1784 3 жыл бұрын
Thank you so much! I cannot tell you how much this helped me! I have spent a week on Chapter 5 and learned more in 13 minutes than i did in that whole week! You truly are my "Grade Saver".
@rid_7787
@rid_7787 Жыл бұрын
This man saved me from months of pain in like less than 5 minutes, thank you
@bosmil6788
@bosmil6788 7 жыл бұрын
6 years later and this video is still helpful! thanks so much
@dawnr2196
@dawnr2196 8 жыл бұрын
This was a great video for someone who was frustrated with doing my sons homework and having completely forgotten this area of math. It quickly and easily brought back how to complete these equations and graph them. Thank you
@jessicap.5635
@jessicap.5635 3 жыл бұрын
I was struggling so badly. You just explained everything perfectly and now I understand thank you!!!!
@wwilloww995
@wwilloww995 10 жыл бұрын
Thank you for taking the time to do an EXCELLENT presentation! It has definitely deepened my appreciation for these rather difficult linear equalities--a million thanks!!
@lizamason9247
@lizamason9247 7 жыл бұрын
my teacher taught this a long time ago and I didn't understand a single bit of bit, now you've explained it a night before my midterms and it all makes sense. thanks sooooo much 💕💕💕
@jamie4467
@jamie4467 9 жыл бұрын
Finally a helpful lesson on graphing linear inequalities. Loved the 101 on symbols and types of lines to use. Bravo, Mr. J Saint Germain.
@merceditady3258
@merceditady3258 Жыл бұрын
Y greater than or equal to 1/2x - 4 solving and graphing linear inequalities pls help me thank you
@abdouldiallo5949
@abdouldiallo5949 4 жыл бұрын
Thank you so much you explain things better than my math teacher.So I appreciate your kindness.
@kaddo505
@kaddo505 3 жыл бұрын
bro I love you for doing this, you genuinely make it so easy.
@khamissalum8227
@khamissalum8227 8 жыл бұрын
is it me or when its (≤,) you shade up.
@aliebachand1664
@aliebachand1664 8 жыл бұрын
+khamis salum Is not u.
@udemeudom1799
@udemeudom1799 8 жыл бұрын
+khamis salum pretty much.
@davidhuynh3393
@davidhuynh3393 5 жыл бұрын
Man your life-saving video made a hit to my question of shading above or below the line. Alright!
@oldschool4real998
@oldschool4real998 9 жыл бұрын
Thank you soo much sir, I needed this for a math test I have tomorrow. This I definitely needed as a review on inequalities.
@littlemissunprofessional9182
@littlemissunprofessional9182 6 жыл бұрын
Its either I sleep short circuit or the class is rowdier than usual but the two hours of thus bullshit I understood in 5 minutes shm Thank You So Much Man You Are A Life Saver
@Ben_Rayner
@Ben_Rayner 8 жыл бұрын
Thanks so much for making this video. It helped me a lot. As well as this, you didn't put ads on it, so you were doing it for free. Thanks for your time in making the video.
@KiraDekker-wl1te
@KiraDekker-wl1te 6 ай бұрын
After hours and hours of studying this and not being able to understand it, this video made it click for me and I am SO thankfull!!! THANK YOU
@todo870
@todo870 5 жыл бұрын
Lmao I clicked this video and in the first two seconds my brain clicked on all the information I had stored somewhere lol. Thanks😂
@ninarichelle6460
@ninarichelle6460 4 жыл бұрын
I like how I learned more in this 13 minute video than in my subs two 18 minute videos. Idk if that's my fault or not but bottom line THANK YOU FOR TEACHING ME! :)
@pangvang5397
@pangvang5397 8 жыл бұрын
you can teach me this in 14 minutes but my teacher takes like 30 minutes and makes it confusing to!! thanks ! this is so helpful.
@logansermons2576
@logansermons2576 6 жыл бұрын
this is acyually more helpful than two hours of class and an hour after school toutoring combined but only in 13 minutes which was well spent
@wrightTxx
@wrightTxx 11 жыл бұрын
I'm a fresman in Georgia and my algebra teacher is a first year teacher, so i didn't get it at first.But you've really helped a lot so thank you- Tabias Wright
@natalienguyen5532
@natalienguyen5532 6 жыл бұрын
Honestly thanks so much. I get stuck on this part in my Algebra II. Hopefully you will reach more viewers for your channel! One again, thank you.
@davidhuynh3393
@davidhuynh3393 5 жыл бұрын
woahhhhh................. Your Lesson exactly hits the spot dead-on!
@grantbirtman9053
@grantbirtman9053 9 жыл бұрын
Thank you so much! I spent in hour in algebra learning this, and couldn't grasp it. This was so helpful!
@flashanimator5801
@flashanimator5801 8 жыл бұрын
I'm in 7th grade honors, and I wanted to look for a challenge. I asked my 8th grade math honors friend, if I could try out his homework. He had this big packet, and I did some of the problems. I was able to do most of them, algebra mixture and system of equation problems. But on the last pages, there were Graphing Linear Inequalities, stuff I didn't get at the time. When I got back home, I looked up this video, and in 13 minutes, I've learned how to graph linear inequalities! Thank you!
@navy876
@navy876 11 жыл бұрын
WE NEED ALOT MORE PEOPLE LIKE YOU ON KZbin.
@mariahflores989
@mariahflores989 7 жыл бұрын
This video is really helpful! My teacher doesn't really go over any of our math lessons. Just hands us the materials. THANK YOU! 😊
@serayanie9947
@serayanie9947 4 жыл бұрын
Dude it’s 2020 and this is still very helpful. Thank you so much
@strawberryzombie5474
@strawberryzombie5474 Жыл бұрын
OMG I finally learn how to shade!!!! If the (0,0) test point makes the equation untrue then you don’t include (0,0)in your shading. 5:35 is where I figured it out for those who are in a rush.
@aw.wowee33
@aw.wowee33 9 жыл бұрын
My gosh, thank you so much. This helped me a lot, kudos!
@myahbowley7087
@myahbowley7087 5 жыл бұрын
Thank you! I was having trouble with figuring out which region to shade. You explained this well!
@chesterlankford6331
@chesterlankford6331 8 жыл бұрын
Finally! A lad that knows how to teach math! It a god damn miracle.
@laralonna08
@laralonna08 10 жыл бұрын
Thank u a million, this is the first time I manage to understand this fully... Thank you.....
@matt5g
@matt5g 5 жыл бұрын
I have my algebra exam next week and I took the course 6 months ago, so this is great to relearn everything.
@benbuckets8397
@benbuckets8397 6 жыл бұрын
thank you so much for this. Worth 13 minutes of my time when it took my teacher a month and a half to teach this and none of us understand.
@rebeccaclements6111
@rebeccaclements6111 9 жыл бұрын
so simple but on "your turn" #2 you put x rather than y.
@abdullahsheikh1475
@abdullahsheikh1475 10 жыл бұрын
thx a lot man. you explained it at the perfect pace for me.
@Miaconya
@Miaconya 9 жыл бұрын
You made this soooo simple. Thank you!!!
@jayvyzabala6808
@jayvyzabala6808 5 жыл бұрын
Yeah.... your right 👍
@tomasacastillo5776
@tomasacastillo5776 9 жыл бұрын
Thank you sooo much... this will help me pass my test tomarrow.. forever grateful.
@soursweetgone1998
@soursweetgone1998 7 жыл бұрын
Your channel is the best math channel i've come across thank you you are saving me for my final
@sambelmar4362
@sambelmar4362 7 жыл бұрын
i was stressing over an algebra test, and the shading was a real problem for me. Thank you so much sir.
@halliebrandt2814
@halliebrandt2814 7 жыл бұрын
This is so helpful! You are such a great a teacher! Thank you so much!!
@talvarado2834
@talvarado2834 8 жыл бұрын
just learned this lesson that my class is gonna spend the next couple of months on in 13 mins.....ugh I'm so tired of these slow math classes.
@aliebachand1664
@aliebachand1664 8 жыл бұрын
+Teresa Alvarado OMG!! LIKE, YASSSS! SOMEONE FINALLY GETS ME!!!!!!!!!!!
@luischeco3009
@luischeco3009 8 жыл бұрын
+THE TREE, IT GROWS! I should have been in honors. i'm in Algebra II and we are Still going over Algebra l stuff. it is April.
@gB-gm7vy
@gB-gm7vy 4 жыл бұрын
Excellent video. 6:03 the highlighter coloring Job drove me crazy. I just wanted to fill that gap.
@ahmedabuhalima7751
@ahmedabuhalima7751 10 жыл бұрын
Thanks so much you have no idea how Much you helped me dude. I have a test Tommorow and I have a horrible. I appreciate the steps that you go to to help the user understand! Keep up the good work man! :) :)
@yeoslovelyblu
@yeoslovelyblu 2 жыл бұрын
TYSM I have a test tmmrw and I had no idea what to do but thus video helped me understand it way better!!
@LittleMiss456
@LittleMiss456 9 жыл бұрын
My teacher cannot teach to save herself. This, on the other hand, was really helpful. Thanks!
@arepaimproved
@arepaimproved 7 жыл бұрын
Thank you so much! It really did help. I paid attention to the steps in the beginning & when you left us the 3 problems, I got them all correct. My mom was even happy for me [she was right in front of me lol] I am now ready for my assessment tomorrow on this skill. Once again, thank you so much for this lesson!
@xXxshyxXx187
@xXxshyxXx187 5 жыл бұрын
THANK YOU SO MUCH!! I'm in an online class and basically have to teach myself. I have a text book but it was all too confusing. Thank you again, you helped me a lot. I finally understand it
@rezaarian237
@rezaarian237 6 жыл бұрын
thank you so much , I watched a lot of videos they just confused me . this one is the best one so far . thank you .
@omaralmutawa6738
@omaralmutawa6738 4 жыл бұрын
Thanks mr very appreciated!!!! hope u have a life full of happiness!!
@XxEvilxEmpirexX
@XxEvilxEmpirexX 11 жыл бұрын
So far this was the best video explaining it.
@raenadamason4974
@raenadamason4974 9 жыл бұрын
Thank you so much for this video!! After watching this one time it all clicked for me!!! This was awesome! I'm glad I found you: LIFESAVER!!!
@legionaire003
@legionaire003 9 жыл бұрын
Thank you so much!!! Needed this for a midterm
@vknight6778
@vknight6778 8 жыл бұрын
Thanks so much! I have a Maths test tomorrow! Cleared my concepts!
@emersoncanon1313
@emersoncanon1313 6 жыл бұрын
Thank you I didn’t understand any of this until I watched this video, THANK YOU SO MUCH!!!
@yarelizuniga4309
@yarelizuniga4309 7 жыл бұрын
Wow thank you for taking your time to teach us now I understand the shading part. Thank you so much excellent explaining!
@sophiamunoz5623
@sophiamunoz5623 7 жыл бұрын
this honestly helped me so much! thank you!
@felixschen
@felixschen 11 жыл бұрын
Thank you so much, this is very helpful. I didn't get the shading part in class, thanks to you, I don't have to ask the teacher for help because you helped me, I understand now! Thank you so much, I'm going to watch your videos now to explore the world of algebra, thank you so much again!
@Starstreastudios
@Starstreastudios 8 жыл бұрын
Nice video. Love the windows 95, too
@sky92x
@sky92x 8 жыл бұрын
+Kaelan Dinwiddie XP or 2000/2003 actually
@GOquietsniper
@GOquietsniper 8 жыл бұрын
i just learned what my teacher couldnt teach me in half a year in 20 minutes thank you for explaining it so easily. Time to pass my exam tomorrow!
@Eren92812
@Eren92812 8 жыл бұрын
+Quiet “quiet sniper” Sniper same man, well i gotta get an 88 percent to pass my class, gl man i hope you pass
@clearcurse
@clearcurse 6 жыл бұрын
YOU ACTUALLY SAVED MY LIFE GOD BLESS YOU!!!!!
@mackenzielangan9875
@mackenzielangan9875 7 жыл бұрын
Thank you I was making up a test and missed the beginning of this lesson and this helped me so much thank you
@joyceallyn5706
@joyceallyn5706 9 жыл бұрын
Thank you! Now it makes sense.. I thought it was hard, when I look at my book, but after watching this, now I understand. (even thought I was confused at the question number 2,. 3x instead of 3y)
@kamburrisg
@kamburrisg 10 жыл бұрын
Great video man! you helped so much!
@06Kabal
@06Kabal 6 жыл бұрын
Thank u so very much. You made this so easy. My teacher had us doing some Houdini bull shit, jumping through rings of fire on a unicycle type shit...Thanks.
@emanuelhernandez8175
@emanuelhernandez8175 9 жыл бұрын
Thanks I appreciate you take your time to teach others, THANKS!!
@aidan2135
@aidan2135 5 жыл бұрын
this is actually really good. im advancing myself and this is a good video if youre trying to teach yourself mathematics.
@feeblebastard8233
@feeblebastard8233 8 жыл бұрын
thank you!! i have been struggling with this shit all day!
@ratpoison6435
@ratpoison6435 7 жыл бұрын
Thanks! In 9min I learned more than 2hrs in class
@mbperu
@mbperu 4 жыл бұрын
Thanks so much, I clearly understood the lesson...Now I will be more than able to explain to my daughter about this topic...As a parent I watch a lot o videos about math in order to be prepared when my daughters need help...some times they don't understand the way their teacher explain in class...
@gloglogo2638
@gloglogo2638 6 жыл бұрын
You taught this in an entirely different method than our math lab but your way is easier. The graphing part is difficult because the system won't allow you to graph pass two points. I'm stuck on stupid all day. I have one right so far! I'm gonna pull all my hair out.
@djashley1901
@djashley1901 6 жыл бұрын
Its 2017 , still being watched :p , i was getting lots of difficulty with it , but thanks Sir Germain , Really helped :)
@H3ll0kittyhh
@H3ll0kittyhh 10 жыл бұрын
SO I am in colege Geometry...... Yet the entier course is on algebra ( What..?) and in an 11 week time period they give you 79 tests. On the very last day of class you must have all 79 finished n order to take the FInal and hopefully pass so you can escape the living hell. Well My very last test is on this. The way it works is there are 11 groups of test and you get about 3 videos with some people that give you the very baisic steps and then you are pretty much on your own. If you were not here putting this wonderfully simple version on here I would not be finishing my last test in time without a majoir headache. I would just like to say thank you so very very much. I wish I would have stummbled upon you much sooner. Thank you so very much. I will be sure to pass this channel on to every poor soul forced to take this "Geometry" Class to ensure them less stress and less headache. Once more thank you so much.
@jamesyim3927
@jamesyim3927 10 жыл бұрын
And you are in college? I'm in 7th grade, and I am learning this.
@H3ll0kittyhh
@H3ll0kittyhh 10 жыл бұрын
It's been several years since I have been in any sort of a math class. SO Yeah you tend to forget pointless crap like this =/ when it has nothing to do with your profession. There is barely any math involved in making cartoons. Unless you go into something such as being a math teacher or a scientific profession involving math then no, you will never use this. And Yes I learned this back in 7th/8th grade. I garuntee you over your summer break you will forget half of it, spend half of your 8th grade year relearning it only to pile on more junk you will never use and then repeat the process when you get into the 9th grade. That's typically how school works. Have a great day, and before you decide to make a smart remark maybe do a bit of thinking first. Just because someone is in college doesn't mean they are fresh out of highschool. There are many classmates of mine that are in their late 30's and early 40's. Can you imagine how long its been for them since they learned 7th grade math?. Have a nice day. Good luck with school.
@JesusRodriguez-lc7rs
@JesusRodriguez-lc7rs 8 жыл бұрын
You made my life so much easier,thanks!!!!
@faliloudionna7770
@faliloudionna7770 5 жыл бұрын
thank you so much man 🙏🏾 true lifesaver
@lloydkim5972
@lloydkim5972 5 жыл бұрын
This video was so helpful and im gonna do really well on my test for sure!!! Thank you so much
@imadscientist
@imadscientist 3 жыл бұрын
Thankyou for helping me out. Prayers for you and good wishes💖
@jaezoeysvlogs9267
@jaezoeysvlogs9267 7 жыл бұрын
this is giving me major problems in college, you explained it really well. thanks so much I feel like I can do them now
@MrBlash93
@MrBlash93 6 жыл бұрын
Thank you very much for making this very helpful video. You are a very talented professor. Keep up the great work.
@murthyyadla90
@murthyyadla90 2 жыл бұрын
Thank you so much, this was a difficult concept however you have taught it perfectlt.
@jairohuaylinos8041
@jairohuaylinos8041 10 жыл бұрын
Thank you, I was so confused until I watched this
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