How do you solve and graph #abs(x+5)<=9#?

1 Answer
Jul 10, 2017

Answer:

With absolute values there are always two graphs, that meet at the point where the argument between the bars #=0#

Explanation:

(1) #x>=-5# no need for a sign change:
#x+5<=9->x<=9-5->x<=4#

(2) #x<-5->x+5# changes signs:
#-x-5<=9->-x<=9+5->-x<=14->x>=-14#
graph{|x+5| [-20.63, 11.41, -4.28, 11.73]}