I thought that when we have absolute value, the results will be always positive. So if we put -1 inside the absolute value, the results will be 1. So i got confuse in the question no. 4, i thought it was injective haha. Please correct me if i'm wrong😊
@Mariam.Jawabreh6 күн бұрын
This video deserves millions of views 🔥🤍🤍🤍 , thank you so much
@cocacola753516 күн бұрын
Were you eating candy while speaking? The sound is annoying to be honest.
@David3497619 күн бұрын
Who has exam tmr
@user-nf8kb8in7sАй бұрын
Thank you🥰🤗
@sanjaym52842 ай бұрын
this really helped me a lot for my exam which is tmr , loved your explanation
@hasibalirishad69402 ай бұрын
love you boss
@JPL4544 ай бұрын
Proving that a linear transformation is bijective seens so much easier than proving that a normal function like y=x+3 is bijective for some reason
@amgadelgamal44457 ай бұрын
Amazing video!!
@tiffanybedward14569 ай бұрын
Great video🎉🎉
@user-to8qx2ih1d10 ай бұрын
There is also bodmas too the caribbean mostly use this
@Jemimahhh11 ай бұрын
Perfect👏🏾👏🏾
@aidai_imerova Жыл бұрын
didn't get anything
@AnimeMusicFan Жыл бұрын
ITS A TRAPEZIUM!!!!
@dorajn Жыл бұрын
exellent video, very transparent
@colourbynumber7734 Жыл бұрын
Is it ok if we round off?
@pencilartnz Жыл бұрын
I am surprised at the way you handle the minus sign. The minus sign is used to indicate two different things in mathematics. It can be used to represent a negative number which tells us how far to the left of zero the number is. Secondly, it can be used to indicate the binary operation of subtraction which is defined as the addition of opposed of the number being subtracted. The minus sign has no mathematical meaning. To solve expressions, first change all operations of subtraction to addition and then apply the rules for adding positive and negative numbers which can be easily explained using the number line. Cheers.
@aayishaabusalih6043 Жыл бұрын
Thank you got a better understanding of this concept 👍
@Lecias_hair_ Жыл бұрын
You teach so well where is part 2
@trippymajesty2491 Жыл бұрын
Awesome and easy
@promathacademy8512 Жыл бұрын
Thank you! Please feel free to recommend topics!
@abgd3973 Жыл бұрын
Is it true that negative numbers can be even? Odd? I thought only positive ones could be even or odd
@promathacademy8512 Жыл бұрын
Yes that is correct!
@kimun2106 Жыл бұрын
Thanks this by far the clearest video , def subscribing
@berndschmidt788 Жыл бұрын
great explanation.
@valentinussofa4135 Жыл бұрын
I love this one. The foundation of ontology, knowledge representation, logic, and computational science.
@teshanliburd8620 Жыл бұрын
Good stuff. Where is part 2 ?
@johnrogers2352 жыл бұрын
Intermediary section, example 3 is incorrect.
@pernyplaypes2 жыл бұрын
ive being trying to learn this in class for two year, but ive just learn it in 8 min
@danielraphael82142 жыл бұрын
The perfect way to start limits
@danielraphael82142 жыл бұрын
this video is so good
@crimson40662 жыл бұрын
20:53 where did you get the "divided by a-5" from? x (5 - a) = -1 - 2 a, so x = (-1 - 2a) / (5-a)
@jhevonsmith72102 жыл бұрын
Big up
@promathacademy85122 жыл бұрын
Just trying to do the right thing, the right way!
@mariiooP2 жыл бұрын
Great examples and excellent explanation. Thanks!
@promathacademy85122 жыл бұрын
Glad you found it helpful. Please consider subscribing to help the channel grow. Every subscription counts and we appreciate it so much!
@danielraphael82142 жыл бұрын
This video is on fire❤🔥❤🔥❤🔥
@VastoLordeOfficial2 жыл бұрын
I learnt alot 💯
@promathacademy85122 жыл бұрын
All your support is appreciated.
@danielraphael9192 жыл бұрын
4:50 WAS EXPLAINED SO WELL!
@justquily50222 жыл бұрын
Powerful part of foundational math, thanks for the video.
@danielraphael9192 жыл бұрын
I love the consistent notation and build up
@killerbeekillebeejr83442 жыл бұрын
Up 💖🙌
@danielraphael9192 жыл бұрын
Loved the humor at 1:11.
@celieciahwilliams20842 жыл бұрын
Great video! but I would have liked it if you gave a general formula for the common difference d.
@celieciahwilliams20842 жыл бұрын
because for me it’s not so easy all the time to eyeball the common difference when it come in different variations like fractions and otherwise
@danielraphael82142 жыл бұрын
A very good introduction! keep up the good work ProMath!
@justquily50222 жыл бұрын
If only I could get in contact with this amazing teacher, wonder how is best 🤔
@actscigirl372 жыл бұрын
Try Instagram
@danielraphael82142 жыл бұрын
This is a good introduction to Mathematical Sets
@danielraphael82142 жыл бұрын
This video is so good. I had no idea!
@elizabethkandjumbi31032 жыл бұрын
At 17:07 where did the 10s come from?
@promathacademy85122 жыл бұрын
adding 10 and subtracting 10 is a mathematical expression which keeps the previous expression the same. Here we needed a multiple of the denominator. (a-2) so we use 5(a-2), which is 5a-10. However we only have 5a+1 but we need 5a-10 somehow, so we subtract 10 and added 10 so that 5(a-2)/(a-2) simplifies to 5 and 5(b-2)/(b-2) simplifies to 5 which simplifies the whole equation.
@jodyedwards23632 жыл бұрын
This is great video broken down very nicely, however u move bit too fast when going through the examples for future presentations if u could slow down a bit. Thank u
@abrahambucknor4172 жыл бұрын
I do Bidmas and my answer was 59
@thefxbro4332 жыл бұрын
(i) Prove that the function f : [1, ∞) −→ [2, ∞) given by f(x) = (x + 2) is not surjective.(please help)
@promathacademy85122 жыл бұрын
The range of the function is not equal to the codomain. Simple ! Find the range of x+2
@danielraphael9192 жыл бұрын
The range seem to be [3, ∞) while the codomain is [2, ∞) so since the range is not identical to the co domain you can conclude the the function is not surjective.
@thefxbro4332 жыл бұрын
in the last proof example why did u divide by a-5 instead of 5-a?
@danielraphael9192 жыл бұрын
I asked the same question. He said it was an error.
@idries10002 жыл бұрын
Example we have complex number and Q complex number. How to determine PQ at Argand diagram? Thanks