Solve for xx and graph the solution on the number line below.

Question

-8≥-8x

Answer 1

To solve for xx, we must first isolate the variable on one side:

-8 ≥ -8x

Now, we must divide both sides by -8 to get x by itself. It is important to remember that when we divide both sides of an inequality by a negative number, we must flip the inequality sign:

-8 / -8 ≤ -8x / -8

Simplified, it becomes:

1 ≤ x

This shows that xx can take any value greater than or equal to 1.

Now let's graph this on a number line:

```
<----|----|----|----|----|----|----|----|----
0 1 2 3 4 5 6 7
```

We will use a closed circle (or bracket) on 1 to indicate that 1 is included in the solution, and an arrow pointing to the right to show that all numbers greater than 1 are part of the solution set:

```
<----|====|====|====|====|====|====|====|==== (...)
0 1 2 3 4 5 6 7
```

The "===" indicates the portion of the number line where x is a solution, starting from 1 and going to the right indefinitely.