Question

x ∈ {real numbers} and –1 < 3 – 2x ≤ 7, evaluate x and represent it on a number line.

Answer 1

–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: