Question

Solve: |x−5|>−2. Write your solution in interval notation.

(If there is no solution, enter your answer as ∅.)

Answer 1

x ∈ R or (-∞,∞)

Explanation:

The equation |x - 5| > -2 results in true for all x-values. No matter which x-values you substitute in the absolute value; positive, negative real numbers or zero, you'll always end up with the positive value which is greater than negative

Therefore, |x - 5| > -2 is true for all real x-values.