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Question
x ∈ {real numbers} and –1 < 3 – 2x ≤ 7, evaluate x and represent it on a number line.
Solution
–1 < 3 – 2x ≤ 7
–1 < 3 – 2x and 3 – 2x ≤ 7
2x < 4 and – 2x ≤ 4
x < 2 and x ≥ – 2
Solution set = {–2 ≤ x < 2, x ∈ R}
Thus, the solution can be represented on a number line as:
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