Solving Modulus Equations and Inequalities

How to solve Modulus inequalities and equations. Also know as solving absolute value inequalities. Modulus inequalities revision questions / handout. Absolute Value Equations. Leaving Cert Maths and a levels.

[@user-fv8xd7vm1p]

that's great sir

[@tullamaths]

very welcome

[@crisismajoka7064]

Thank you Sir

[@tullamaths]

no problem - glad you found it helpful

[@twistashorts403]

Thank you sir love from Pakistan

[@tullamaths]

Great Tulla Maths is reaching Pakistan

[@pathummadusanka2271]

Thank you...

[@tullamaths]

Im glad it helped

[@riyaskhan7276]

Thankyou sir.. 💌in part 12:17 how did you solve the eqn into (3x+ 7)(x+5) i mean which were the numbers that you considered?

[@tullamaths]

it is factorising quadratics. Please check this video if you need support. Any queries, let me know. kzbin.info/www/bejne/i5bOdaafq9yrj9E

[@AD99111]

Explanation is good , TNX

[@tullamaths]

I'm glad it helped !

[@mubitanosiku2904]

Thank you

[@tullamaths]

you're welcome

[@gemmadominic1096]

Thank you ❤

[@tullamaths]

you're welcome!

[@kifayatshabir5468]

thank u from kashmir

[@tullamaths]

Glad to help !

[@wooyoungwang8021]

how do you solve inequalities when there is a - or + outside of the abs(x)? e.g abs(x-1)>4-abs(x+1)?

[@user-ou2ze8nt7d]

Just question cus Im struggling with factoring. Where did you get the 15 (FIFTEEN) to add to (7+5) in the part 12:00 ?

[@tullamaths]

Factorising can always be though. The fifteen is coming from multiplying the 3x by 5 = 15x. Then multiplying the x by 7= 7x. Add 15x and 7x makes the 22x. Perhaps watch this video and it could help better kzbin.info/www/bejne/i5bOdaafq9yrj9E

[@Carrymejane]

Polynomial

[@landmine5702]

It's great but lengthy process!

[@sameerajshortfilimes8959]

Thxs broo nice explanation tq soo much

[@tullamaths]

no problem at all - glad it helped

[@yousafahmed9509]

taught me faster than my teacher

[@tullamaths]

great that it helped you

[@user-ib5fp6hh5r]

It's easy of course but I'm alitle bit confused here (x-2)² ....was it not supposed to be difference of two square?

[@tullamaths]

difference of two squares is when squaring each part separately, such as (x)² -(2)² . Hope this clarifies.

[@user-ib5fp6hh5r]

@@tullamaths much appreciation...it's clear now

[@tullamaths]

@@user-ib5fp6hh5r best of luck with your studies

[@Carrymejane]

Crispy

[@Erupto.]

How do you solve |x-2| = |x| +1? Does anyone have any ideas?

[@PumuloMwemba]

How did get to conclusion of example 1 and 2. In example 1,6 is correct however when you minus 2 from -2 it doesn't give you 4. In example 2 is it not suppose to be -25😢😢. I'm already confused ain't planning to go further 💔

[@tullamaths]

-2 -2 is = -4 modulus of -4 = 4 as per my video. Be careful with your rules of subtraction. Example 2 the answer is x=2 as per video (not -25 as you state).

[@ManishiPabodini]

How to draw modular graph in Y = 4 - |2x - 8|

[@mehzabinrashid890]

Your method is too lengthy+complicated... infact the first math you have done is way too lengthy and on the other hand I completed it within 2 lines only. Please try to make it easy

[@tullamaths]

There are many methods to solving mathematical problems. My tutorial video aims to explain just one of these methods.

[@Jee2024IIT]

You can't square both sides in inequalities 🤦 because x is a variable it can be a negative value too You have murdered all the laws in mathematics

[@atharvsoni5308]

sguares are always positive. aise karega iit?

[@Jee2024IIT]

@@atharvsoni5308 -4 < 3✅ Squaring both sides (-4)² < (3)² 16

[@sttlok]

In this case you can because both sides are positive, plus |x| = sqrt(Re(x)^2 + Im(x)^2) which is sqrt(x^2) for all real numbers.

[@ai-lingji4252]

Both sides can be squared when both sides of the modulus inequality are absolute values, because -4 < 3, but |-4|>|3|, so both equations can be squared

[@VanshYadav-yb8dd]

its three not tree

[@yifengxiao]

misleading, make easy to complicate!

[@Uchiha...Itachi]

Agreed,this isnt hard but overcomplicated for no reason

[@Carrymejane]

It's not that hard if u understand polynomial 😌

[@Uchiha...Itachi]

@@Carrymejane doesn't matter there are easier ways

[@xlr8gff215]

Thank you

[@tullamaths]

You're very welcome