Solve this inequality: 5x−2≤8

Question

x>2
x<_2
x<2
x_>2
should the point be open or closed?
Where is the shading
Left or Right

Answer 1

To solve the inequality 5x-2≤8, we need to isolate the variable x.
Adding 2 to both sides we get:
5x ≤ 10

Then, dividing both sides by 5 we get:
x ≤ 2

The inequality is read as "x is less than or equal to 2".

Since the inequality is less than or equal to (≤), the point 2 can be closed (solid dot) on the number line.

The shading will be to the left of the solid dot (2) since the solution is x ≤ 2.