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

|x| > 1

Step-by-step 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

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x