How do you graph and solve #abs( x - 3 )> 5#?

1 Answer
A. S. Adikesavan
Apr 21, 2016

Leaving the segment for the closed interval #x in [-2, 8]#, mark the x-axis in bold face to represent the inequality #|x-3|>5#.

Explanation:

#|x-3|>5# is the combined inequality for the pair
#x-3>5 and -(x-3)>5#
or #x>8 and x<-2#

Leaving the segment for the closed interval #x in [-2, 8]#, mark the x-axis in bold face to represent the inequality #|x-3|>5#.

Related questions
See all questions in Absolute Value Inequalities
Impact of this question
1313 views around the world
You can reuse this answer
Creative Commons License