Question

HELP ASAP!!!! ALGEBRA 1 MATH! BRAINLIEST 50 PTS.
"In a songwrite competition, the minimum lenght of a song is 2.5 minnutes. The maximum lenght of a song is 5.5 minutes. Write an absolute value equation that has these minimum and maximum lenghts as its solution."

-Solving Equations with an Absolute Value! Help!!!!!

Answer 1

Let 'x' represent the length of the song.

x an element of the interval [2.5, 5.5]

The midpoint of the interval [2.5, 5.5] is (1/2)(2.5 + 5.5) = 8/4 = 4.

This means that for every x the following inequalities hold:

2.5 <= x <= 5.5 subtract 4 from each side

2.5 - 4 <= x - 4 <= 5.5 - 4

- 1.5 <= x - 4 <= 1.5

or

|x - 4| <= 1.5