Question

Given x ∈ {integers}, find the solution set of:
-5 ≤ 2x – 3 < x + 2

Answer 1

Step-by-step explanation:

– 3 < x – 2 < 9 – 2x ⇒ – 3 < x – 2 and x – 2 < 9 – 2x ⇒ – 3 + 2 < x and x + 2x < 9 + 2 ⇒ – 1 < x and 3x < 11 or x < 113113 ⇒ − 1 < xx ≤ 113113 Since xx ∈ Z, so the solution set = {0, 1, 2, 3}.Read more on Sarthaks.com - https://www.sarthaks.com/992452/find-the-solution-set-of-3-x-2-9-2x-x-z-set-of-integers

Answer 2

Answer:

-5<2x-3<x+2

-5+3 <2x-3+3<x+2+3

-2<2x<x+5

-2/2 <2x/2<x+5/2

-1<x<x+5/2