# How do you graph |7x| \ge 21?

May 31, 2018

Please refer to the explanation below.

#### Explanation:

Firstly, simplify the expression.
So we have,

$| 7 x | \ge 21$

$\implies | x | \ge 3$ (Dividing both side by 7)

$\implies x \ge 3 \mathmr{and} x \le - 3$ (Property of modulus)

Since you are going to plot this on 2-D, mark the critical lines, i.e., $x = 3 \mathmr{and} x = - 3$

Now shade all the region on the Right Hand Side of $x = 3$
And, region on the Left Hand Side of $x = - 3$

You will get your requird graph.