Question

the inequality graphed represents the ages, a, of players on a baseball team. which inequality represents the same ages? 12 > a ≤ 18 12 ≤ a < 18 12 < a ≤ 18 12 ≥ a < 18

Explanation:

Step1: Analyze the number line graph

The closed circle at 12 means 12 is included, so the inequality should have \( a \geq 12 \) or \( 12 \leq a \). The open circle at 18 means 18 is not included, so the inequality should have \( a < 18 \).

Step2: Match with the options

Looking at the options, the inequality \( 12 \leq a < 18 \) matches the conditions from the number line (12 included, 18 not included).

Answer:

\( 12 \leq a < 18 \) (the second option: \( 12 \leq a < 18 \))