Write an absolute value equation that has these minimum and maximum lengths as its solutions.

Question

in a songwriting competitio, the minimum length of a song is 2.5 minutes. The maximum length of a song is 5.5 minutes. Write an absolute value equation that has these minimum and maximum lengths as its solutions.

Answer 1

|x-4| = 1.5

x-4 = 1.5 or x-4 = -1.5

x = 1.5 + 4 or x = -1.5 + 4

x=5.5 or x = 2.5