Question
Solve 2 ≤ 2x – 3 ≤ 5, x ∈ R and mark it on a number line.
✓
Answer
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 $x \geq \frac{5}{2}$
$\therefore x \geq 2 \frac{1}{2}$ and $x \leq 4$
(solution set is 2·5 ≤ x ≤ 4)
2 ≤ 2x - 3; 2x - 3 ≤ 5
2 + 3 ≤ 2x; 2x ≤ 5 + 3
or 5 ≤ 2x; 2x ≤ 8
2x ≥ 5; x≤ 4
or $x \geq \frac{5}{2}$
$\therefore x \geq 2 \frac{1}{2}$ and $x \leq 4$
(solution set is 2·5 ≤ x ≤ 4)
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