solve this inequality 5x - 2 ≤ 8
Which inequality represents the solution set?
x>2
x≤2
x<2
x≥2
should the point be open or close
Where is the shading left or right
To solve the inequality 5x - 2 ≤ 8, we need to isolate the variable x.
We add 2 to both sides of the inequality to move the constant term to the right side:
5x - 2 + 2 ≤ 8 + 2
5x ≤ 10
Next, we divide both sides of the inequality by 5 to solve for x:
(5x)/5 ≤ 10/5
x ≤ 2
Therefore, the inequality that represents the solution set is x ≤ 2.
Regarding the point being open or closed, the inequality symbol includes an equal sign (≤), which means the point should be closed.
As for the shading, since the solution is x ≤ 2, the shading is to the left of the number line.