Max starts on the 20th floor of a building and takes the elevator 4 floors down. then he takes the elevator up 3 floors, and then down another 5 floors. write the absolute value of the greatest change in floors that max made.

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5