How do you graph and solve #|1/x| > 2#?

1 Answer
May 18, 2016

Answer:

#x in (-1/2, 1/2)#. The graph is the line segment on the x-axis, in between #x = -1/2 and x = 1/2#, sans the end points.

Explanation:

This is equivalent to #|x|<1/2# which is the combined inequality for the pair #x<1/2, and -x<1/2# which is equivalent to # x> -1/2#.

So, #x in (-1/2, 1/2)#.

The graph is the line segment on the x-axis, in between

#x = -1/2 and x = 1/2#, sans the end points.