Question

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

Answer 1

`s<=-3, s>=3` See below for graph details:

Explanation:

Let's isolate `s`:

`3abss-2>=7`

`3abss>=9`

`abss>=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:

`pms>=3`

Positive

`s>=3`

Negative

`-s>=3`

`s<=-3`

Now to graph. On a number line, put filled in dots on `3 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.