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

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Answer 1 · 2018-05-26T11:15:19

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

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]}