# How do you graph and solve 3abs[s]-2 >=7?

$s \le - 3 , s \ge 3$ See below for graph details:

#### Explanation:

Let's isolate $s$:

$3 \left\mid s \right\mid - 2 \ge 7$

$3 \left\mid s \right\mid \ge 9$

$\left\mid s \right\mid \ge 3$

It's at this point that it's important to remember that the absolute value function will only return positive values (but the $s$ inside of it could be negative). And so we evaluate for both positive and negative values:

$\pm s \ge 3$

Positive

$s \ge 3$

Negative

$- s \ge 3$

$s \le - 3$

Now to graph. On a number line, put filled in dots on $3 \mathmr{and} - 3$ - this indicates that these values are part of the solution. Draw a ray to the right from the 3 dot and a ray to the left for the $- 3$ dot.