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

Mar 23, 2016

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
$| x | < 7$ is the combined inequality for the inequalities x < 7 and $- x < 7$.
So, the second inequality is equivalent to $x > - 7$.