Question

Solve this inequality:

5x−2≤​8
open or closed
where is the shading left or right?

Answer 1

[AI-generated answer — Bot GPT 3.5]

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 - 2 + 2 ≤ 8 + 2
5x ≤ 10

Next, we divide both sides of the inequality by 5:
(5x)/5 ≤ 10/5
x ≤ 2

The inequality is "x ≤ 2". Since there is no strict inequality symbol (< or >), the solution is closed. This means that x can be equal to 2.

As for the shading, the values of x that satisfy the inequality are to the left of (or including) 2 on the number line. Therefore, the shading is to the left.