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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.