Question

choose the inequality that represents the following graph.

choose 1 answer:
a ( x < 2 )
b ( x leq 2 )
c ( x > 2 )
d ( x geq 2 )

Explanation:

Step1: Analyze the graph's dot

The dot at 2 is open, which means 2 is not included in the solution set. So we can eliminate options with "≤" or "≥" (B and D).

Step2: Analyze the graph's direction

The line is shaded to the right of 2, which means the values of \( x \) are greater than 2. So the inequality should be \( x > 2 \), which corresponds to option C.

Answer:

C. \( x > 2 \)