Question

what are the solutions to the absolute value inequality |x - 70| ≤ 3? remember, the inequality can be written as -3 ≤ x - 70 ≤ 3 or as x - 70 ≤ 3 and x - 70 ≥ -3. x ≤ 67 x ≤ 73 67 ≤ x ≤ 73 67 ≥ x ≥ 73 done

Explanation:

Step1: Solve left - hand side of compound inequality

Add 70 to both sides of $x - 70\geq - 3$.
$x-70 + 70\geq - 3+70$
$x\geq67$

Step2: Solve right - hand side of compound inequality

Add 70 to both sides of $x - 70\leq3$.
$x-70 + 70\leq3 + 70$
$x\leq73$

Answer:

$67\leq x\leq73$