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Question
Given x ∈ {real numbers}, find the range of values of x for which –5 ≤ 2x – 3 < x + 2 and represent it on a number line.
Solution
–5 ≤ 2x – 3 < x + 2
–5 ≤ 2x – 3 and 2x – 3 < x + 2
–2 ≤ 2x and x < 5
–1 ≤ x and x < 5
∴ Required range is –1 ≤ x < 5
The required graph is
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