Question

How do you solve and graph `x < -1` or `x > 1`?

Answer 1

The whole number line apart from -1 to +1.

Explanation:

The key word here is "OR"! This increases the possible answers, because the solution for `x` can include either of the possibilities given. As long as `x` is a value less than -1, or greater than 1, it is included.

On a number line graph this would be shown as an open circle on -1 with an arrow drawn to the left, as well as an open circle on +1 with an arrow drawn to the right. All Real numbers are included, rationals, irrationals, fractions, decimals,integers etc.
Only the values from -1 to +1 are excluded.