Solve this inequality: 5x−2≤8

Answer 1

To solve the inequality, we need to isolate the variable x.

First, add 2 to both sides of the inequality:

5x - 2 + 2 ≤ 8 + 2

Simplifying,

5x ≤ 10

Next, divide both sides of the inequality by 5:

(5x)/5 ≤ 10/5

Simplifying,

x ≤ 2

So, the solution to the inequality is x ≤ 2.

Answer 2

Should the point be open or closed?

Answer 3

Since the inequality includes the less than or equal to sign (≤), the point should be closed. Therefore, the solution to the inequality is x ≤ 2 with a closed point at x = 2.

Answer 4

Where is the shading? Left or right?

Answer 5

Apologies for the misunderstanding. The shading for this inequality should be to the left of the point x = 2.