Answer:
-9 < x < 17
Step-by-step 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)
