Question

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

Answer 1

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`.