How do you solve and graph #abs(5-2x)=13#?

1 Answer
May 26, 2018

Answer:

The solutions are #S={-4, 9}#

Explanation:

The equation is

#|5-2x|=13#

The solutions are

#{(5-2x=13),(-5+2x=13):}#

#<=>#, #{(2x=5-13=-8),(2x=13+5=18):}#

#<=>#, #{(x=-4),(x=9):}#

The solutions are #S={-4, 9}#

The graph is as follows

graph{|5-2x|-13 [-28.65, 29.1, -15, 13.87]}