absolute value inequalites

Question

The inequality | x - 48.7 | < 3.2 describes the percentage of students who took the SATs during their junior year at Whitemore High School during the last five years. Find this range.

 

____% (>,<,>=,<=) x (>,<,>=,<=) ______%

Answer 1

| x - 48.7 | < 3.2

-3.2< x - 48.7  < 3.2

48.7-3.2< x  < 3.2+48.7

 

45.5<x<51.9