Question

How to write all real numbers less than -1 or greater than 1 as an inequality

Answer 1

|x| > 1

Explanation:

The absolute value inequality

|X| > k

where X is an expression in x and k is a non-negative number is solved by solving the equivalent compound inequality

X < -k or X > k

Here you are working backwards. You know you want the compound inequality to be

x < - 1 or x > 1,

so using the variable expression x for the expression X and 1 for k, write the absolute value equation

|x| > 1