Solving inequalities

Thank you, looks great!

thanks man I was searching for something like this for whole day

can anyone help with this question please:
Use the addition property and/or multiplication properties to find a and b if:
-3<x<4 then a<x-5<b

Use the addition property and/or multiplication properties to find a and b if:
-3<x<4 then a<x-5<b

Thank you. This will be very helpful!

This is very helpful but i am still stuck on a particular inequality. 2-3x<|x-3|. So far i have used the modular property and obtained a three term quadratic equation which further factorizes to (2x+1)(4x-5)<0. So according to me the answer is -1/2<x<5/4 but according to the marking scheme its only x>-1/2. Can somebody plz explain why?

Thank you, do not know, now understand a little.

I was completely surprised by seeing all these meshes especially the triparts insert mesh.

Greatly appreciated.

Very helpful

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Hello!
Solve the inequality , where .
Thank You!