Question

Solve the following inequalities in the given universal set:
4x + 2 ≤ 2x - 7; x ∈ I 

Answer 1

We have
4x + 2 ≤ 2x - 7; x ∈ I 
⇒ 4x - 2x ≤ -7 -2
⇒ 2x ≤ -9
⇒ x ≤ -9/2
As x ∈ I, x can take values -5, -6, -7, ......,
so x = {-5, -6, -7, -8, .......,}
This set can be drawn on number line as x ≤ -9/2.