Question

Solve the absolute value inequ -7|x-1|>=-42

Answer 1

-5 ≤ x ≤ 7

Explanation:

-7|x - 1| ≥ -42

|x - 1| ≤ 6

-6 ≤ x - 1 ≤ 6

(1) -6 ≤ x - 1

x ≥ -6 + 1

x ≥ -5 ... [1]

(2) x - 1 ≤ 6

x ≤ 6 + 1

x ≤ 7 ... [2]

[1] + [2]

-5 ≤ x ≤ 7