Question

what non-negative integers are solutions of the inequality |2x - 1| < 3? show your work.

Explanation:

Step1: Rewrite absolute value inequality

$-3 < 2x - 1 < 3$

Step2: Add 1 to all parts

$-3 + 1 < 2x - 1 + 1 < 3 + 1$
$-2 < 2x < 4$

Step3: Divide all parts by 2

$\frac{-2}{2} < \frac{2x}{2} < \frac{4}{2}$
$-1 < x < 2$

Step4: Identify non-negative integers

Non-negative integers satisfy $x \geq 0$ and $-1 < x < 2$.

Answer:

0, 1