Solve for xx and graph the solution on the number line below.26, is less than, 5, x, plus, 6, and, 66, is greater than, 5, x, plus, 626<5x+6and66>5x+6

Sorry, it seems like there was a misunderstanding. Let's solve the inequalities you provided:

1. 26 < 5x + 6
2. 66 > 5x + 6

First, we'll solve each inequality separately:

1. Subtract 6 from both sides of the first inequality: 26 - 6 < 5x, which simplifies to 20 < 5x.
2. Divide both sides by 5: 20/5 < x, which simplifies to 4 < x.

So, x is greater than 4.

Now, let's solve the second inequality:

1. Subtract 6 from both sides of the second inequality: 66 - 6 > 5x, which simplifies to 60 > 5x.
2. Divide both sides by 5: 60/5 > x, which simplifies to 12 > x.

So, x is less than 12.

Combining these two results, we find that x is greater than 4 and less than 12. This can be written as 4 < x < 12.

To graph this solution on a number line:

1. Draw a number line and mark the points 4 and 12.
2. Since x is greater than 4 and less than 12, shade the region between 4 and 12.
3. Since the inequalities do not include 4 and 12 (they are not equal to x), draw open circles at 4 and 12 to indicate this.

And that's your solution and its graph!