Question

I NEED ANSWER SOON

the absolute value of the quantity one fourth times x minus 3 end quantity minus 5 is greater than or equal to 4 Part A: Solve the inequality, showing all necessary steps. (3 points) Part B: Describe the graph of the solution. (3 points)

Answer 1

`x\leq-24\,\text{ or}\,\,x\geq48`

Explanation:

`|(1)/(4)x-3|-5\geq4\\\\|(1)/(4)x-3|\geq9`

First Inequality

`(1)/(4)x-3\geq9\\\\(1)/(4)x\geq12\\\\x\geq48`

Second Inequality

`(1)/(4)x-3\leq-9\\\\(1)/(4)x\leq-6\\\\x\leq-24`