Question

Solve the absolute value inequality: |2x - 3| < 5

Answer 1

|x| < constant = -constant < x < constant

Answer 2

so apply the rule of absolute values...
-5 < 2x-3 < 5

Answer 3

add three to left and right
-2 < 2x < 3

Answer 4

divide by 2
-1 < x < 5/2

Answer 5

in interval notation:
\[ (-1,\frac{5}{2})\]