Question

which graph represents the answer $x > 2$?
a. number line with -1, 0, 1, 2, 3; red arrow starting at 2 (closed circle) pointing right
b. number line with -1, 0, 1, 2, 3; no red arrow
c. number line with -1, 0, 1, 2, 3; red arrow from -1 (closed circle) to 3 (closed circle)
d. number line with -1, 0, 1, 2, 3; red arrow starting at 2 (open circle) pointing right

Explanation:

Step1: Understand inequality graphing rules

For \(x > a\), we use an open - circle at \(a\) (since \(a\) is not included) and an arrow to the right (towards larger values).

Step2: Analyze each option

• Option A: Has an open - circle at \(2\) and an arrow to the right. This matches \(x>2\).
• Option B: No red - colored part (no solution representation).
• Option C: Arrow starts from \(- 2\) (wrong value).
• Option D: Closed - circle (implies \(x\geq2\), not \(x > 2\)).

Answer:

A.