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: