Question

match the inequality below to the correct graph.
$2 < x$
a
b
c
d

Explanation:

Step1: Interpret the inequality

The inequality $2 < x$ means $x$ is all values greater than 2.

Step2: Identify graph rules

For $x > a$, we use an open circle at $a$ (since 2 is not included) and an arrow pointing right (to show values larger than 2).

Step3: Match to options

Check each graph:

• A: Open circle at 2, arrow left (values less than 2) → incorrect
• B: Closed circle at 2, arrow left → incorrect
• C: Closed circle at 2, arrow right → incorrect
• D: Open circle at 2, arrow right → correct

Answer:

D. <Graph with open circle at 2 and arrow pointing right>