Answer:
Option 5: -4 ≤ 7x - 7 ≤ 4
Step-by-step explanation:
It is required to find which expression is equivalent to |7x-7| ≤ 4
So, at the beginning we should review the rules of absolute value inequalities.
1) If |x| ≤ a ⇒ -a ≤ x ≤ a
2) If |x| < a ⇒ -a < x < a
3) If |x| ≥ a ⇒ x ≤ -a or x ≥ a
4) If |x| > a ⇒ x < -a or x > a
Applying the first rule to the given absolute value inequality:
|7x-7| ≤ 4 ⇒ -4 ≤ 7x-7 ≤ 4
So, the answer is option 5
