Question

1. a private school accepts students who are at least 4 years old and no more than 12 years old. write a compound inequality to represent this scenario. 4 < x < 12; 4 ≤ x < 12; 4 < x ≤ 12; 4 ≤ x ≤ 12

Explanation:

Step1: Analyze "at least 4"

"At least 4" means age \( x \) is greater than or equal to 4, so \( x \geq 4 \) or \( 4 \leq x \).

Step2: Analyze "no more than 12"

"No more than 12" means age \( x \) is less than or equal to 12, so \( x \leq 12 \).

Step3: Combine the inequalities

Combining \( 4 \leq x \) and \( x \leq 12 \) gives the compound inequality \( 4 \leq x \leq 12 \).

Answer:

D. \( 4 \leq x \leq 12 \) (assuming the last option is D; if options are labeled as per the order, the correct one is the last option with \( 4 \leq x \leq 12 \))