Answer:
x ≤ 16 and x ≥ -2
Step-by-step explanation:
3 |x-7| ≤ 27
• divide both sides by 3:
|x-7| ≤ 9
• first assume the positive case of the absolute value:
x-7 ≤ 9
• add 7 to both sides:
x ≤ 16
• Now, go back to the absolute value and assume the negative case.
-(x-7) ≤ 9
-x+7 ≤ 9
• subtract 7 from both sides:
-x ≤ 2
• divide each side by -1 and flip the inequality sign:
x ≥ -2
