Question

What is the solution of |x - 4|< 137

Answer 1

-9 < x < 17

Explanation:

Recall that for an equation | f(x) | < a, we can remove the modulus (absolute value symbol) by expressing it as a non-absolute inequality -a < f(x) < a

Hence for our case,

|x - 4|< 13 (express as non-absolute inequality)

-13 < x-4 < 13 (add 4 to all sides of inequality)

-13 + 4 < x - 4 + 4 < 13 + 4

-9 < x < 17 (answer)

Answer 2

-9 < x < 17

Explanation:

|x - 4|< 13

-13 < x - 4 < 13 add 4 to all

-9 < x < 17