How do you graph and solve #| x | <7 #?

1 Answer
Mar 23, 2016

Answer:

The graph is the segment of the x-axis for the open interval #x> -7# and x < 7. The origin is the midpoint of the segment

Explanation:

#|x|<7# is the combined inequality for the inequalities x < 7 and #-x<7#.

Multiplication of both sides by the same negative number reverses the inequality.

So, the second inequality is equivalent to #x> -7#.