If a solution set on a number line is shaded to the right of the point 5, which inequality describes the set?

If a solution set on a number line is shaded to the right of the point 5, which inequality describes the set?

• A. x > 5
• B. x < 5
• C. x >= 5
• D. x <= 5

Answer: (A)

Reading a number line shading shows which x-values satisfy the inequality. Shading to the right of 5 means all numbers greater than 5. Since the boundary at 5 itself isn’t included in the shaded area, we use a strict inequality: x > 5. If 5 were included, you would see a solid boundary and write x ≥ 5. The other options describe regions to the left or include the endpoint, which doesn’t match the shading shown.

Reading a number line shading shows which x-values satisfy the inequality. Shading to the right of 5 means all numbers greater than 5. Since the boundary at 5 itself isn’t included in the shaded area, we use a strict inequality: x > 5. If 5 were included, you would see a solid boundary and write x ≥ 5. The other options describe regions to the left or include the endpoint, which doesn’t match the shading shown.