Solve this inequality:

`5x-2\le8`

Should the point be open or closed?

Where is the shading? left or right?

1 answer

To solve the inequality 5x - 2 ≤ 8, we need to isolate the variable x.

Adding 2 to both sides of the inequality, we get:

5x ≤ 10

To isolate x, we divide both sides of the inequality by 5:

x ≤ 2

Since there is a "less than or equal to" sign (≤), the point should be closed.

The shading is to the left of the number line because all the values less than or equal to 2 satisfy the inequality.