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