Question

Solve 2 ≤ 2x – 3 ≤ 5, x ∈ R and mark it on a number line.

Answer 1

2 ≤ 2x – 3 ≤ 5, x ∈ R
2 ≤ 2x - 3;    2x - 3 ≤ 5
2 + 3 ≤ 2x;   2x ≤ 5 + 3

or  5 ≤ 2x;    2x ≤ 8
     2x ≥ 5;    x≤ 4
or x ≥`(5)/(2)`
∴ x ≥ 2`(1)/(2)` and x ≤ 4
(solution set is 2·5 ≤ x ≤ 4)