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

Question

minus, 70, is greater than or equal to, minus, 10, x
−70≥
−10x

Answer 1

To solve for x in the inequality -70 ≥ -10x, we need to isolate x. We can do this by dividing both sides of the inequality by -10.

Here's the step-by-step:

−70 ≥ −10x

First, divide both sides by -10. Remember, when you divide or multiply both sides of an inequality by a negative number, the direction of the inequality sign changes.

So dividing by -10, we get:

(−70)/(-10) ≤ (−10x)/(-10)

This simplifies to:

7 ≤ x

Now, to graph the solution on a number line, you would draw a number line and shade all the numbers to the right of 7, including the number 7 since the inequality includes the equal to portion (≤ means "less than or equal to"). To indicate that 7 is included in the solution set, we use a closed dot at 7 on the number line.

Here's a simple representation of the number line:

```plaintext
5 6 7 8 9 10
|---------|---------●---------|---------|---------|
```

The closed dot at 7 represents that 7 is part of the solution, and the line extending to the right represents all the values greater than or equal to 7 are included in the solution set.