How do I graph the inequality on a number line?

How do I solve the problem?

x < 8

(The < has a small line under it)

x ≤ 8.

"≤" = less than or equal to.

Anything 8 or less.

To graph the inequality x < 8 on a number line, follow these steps:

1. Draw a number line with a horizontal line extending to the right.

2. Locate and mark the number 8 on the number line. Label it with the number 8.

3. Since the inequality is less than (<), you need to indicate that the numbers less than 8 are included in the solution. Draw an open circle at the point labeled 8.

4. Shade the region to the left of the open circle. This represents all the numbers less than 8, which satisfy the inequality x < 8.

To solve the inequality x < 8, you can follow these steps:

1. To isolate x, you want to get rid of any numbers next to it. In this case, 8 is on the right side of the inequality, so you need to subtract 8 from both sides of the inequality.

x - 8 < 8 - 8

Simplify:

x - 8 < 0

2. The basic idea is to move the variable "x" to one side of the inequality. Add the same number to both sides that will make the coefficient of "x" positive.

x - 8 + 8 < 0 + 8

Simplify:

x < 8

The solution to the inequality x < 8 represents all real numbers less than 8 on the number line.