Question

which graph represents the inequality x ≥ 23 ?

Explanation:

Step1: Understand inequality symbol

The symbol $\geq$ means "greater than or equal to". So $x\geq23$ includes 23 and all numbers greater than 23.

Step2: Analyze graph - point type

A closed - circle is used to represent $\geq$ or $\leq$ (inclusion of the value), and an open - circle is used for $>$ or $<$. For $x\geq23$, we need a closed - circle at 23.

Step3: Analyze graph - direction

Since $x$ is greater than or equal to 23, the arrow should point to the right (towards larger numbers).

Answer:

C. The graph with a closed - circle at 23 and an arrow pointing to the right.