Question

Solve the absolute value inequality −2|x−7|≤−8
. Provide the solution in interval notation.(1 point)
The solution to −2|x−7|≤−8
is ([
]∪
[
]).

Answer 1

Solve: −2|x−7| ≤ −8. Divide by −2 (flip inequality): |x−7| ≥ 4.
So x − 7 ≤ −4 or x − 7 ≥ 4 ⇒ x ≤ 3 or x ≥ 11.

Interval notation: (−∞, 3] ∪ [11, ∞).