Question

solve the inequality. graph the solution.$left|x-\frac{1}{2}
ight|<6$rewrite the inequality without the absolute values. select the correct choice below and, if necessary, fill in th(use integers or fractions for any numbers in the inequality.)a. $x-\frac{1}{2}>square$b. $x-\frac{1}{2}<square$c. $x-\frac{1}{2}<square$ or $x-\frac{1}{2}>square$d. $square < x-\frac{1}{2}<square$

Explanation:

Step1: Recall absolute value inequality rule

For $|A| < b$ where $b>0$, rewrite as $-b < A < b$.

Step2: Apply rule to given inequality

Here, $A = x-\frac{1}{2}$, $b=6$. So:
$$-6 < x-\frac{1}{2} < 6$$

Answer:

D. $-6 < x-\frac{1}{2} < 6$