I need help with algebra

Question

I need to solve and express my solution in both set-builder and interval notation

-7≤3-2x<15

 

Answer 1

-7 ≤ 3 - 2x< 15

-10 ≤ -2x < 12           subtract 3 from all parts

5 ≥ x > -6                 divide all parts by -2 (note change in order)

-6 < x ≤ 5

 

(-6, 5]

{x ∈ ℜ | -6 ≤ x < 5}