Question

Solve the following inequation, write down the solution set and represent it

on the real number line:

– 2 + 10x ≤ 13x + 10 < 24 + 10x, x ∈ Z​

Answer 1

Answer:

-2+10x≤13x+10

adding 2 on both sides

-2+2+10x≤13x+10-2

10x≤13x+8

subtracting 13x on both sides

10x-13x≤ 13x-13x+8

-3x≤8

3x≥-8

diving by 3 on both sides

x≥-8/3

similarly do it with next two which are

13x+10≤ 24+10x

and make it on number line