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 remember, jeds height is within 3 inches of pablos height. describe the solutions in words. jed can be 67 inches or shorter. at least 67 inches, but at most 73 inches. 73 inches or taller. 67 inches or shorter, or 73 inches or taller. done

Explanation:

Step1: Solve left - hand side of compound inequality

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

Step2: Solve right - hand side of compound inequality

Add 70 to $x - 70\leq3$.
$x-70 + 70\leq3 + 70$
$x\leq73$

Answer:

at least 67 inches, but at most 73 inches.