Question

Graph the solution to this inequality on the number line. −5x>11.5

Answer 1

We want to graph the solution for the given inequality, the graph of it can be seen at the end of the answer.

Working with the inequality:

The first thing we need to do is simplify our inequality, we start with:

-5*x > 11.5

We want to isolate x, so we need to divide by -5 in both sides, because we are using a negative number to multiply/divide, the "direction" of the inequality sign changes, so we et:

-5*x/(-5) < 11.5/(-5)

x < -2.3

So the solutions are all of these values smaller than -2.3, this will be represented with an open dot at -2.3, and a shaded line to the left of that point, an example of the graph can be seen below.

If you want to learn more about inequalities, you can read:

brainly.com/question/11234618