Question

To attend a particular camp, a student must be either at least 13 years old or in grade 9 or higher, but must not yet be 18 years old. Let age represent a student’s age and let grade represent the student’s grade level. Which of the following expressions evaluates to true if the student is eligible to attend the camp and evaluates to false otherwise? ((age ≥ 13) OR (grade ≥ 9)) AND (age ≤ 18) Option A,((age ≥ 13) OR (grade ≥ 9)) AND (age ≤ 18) A ((age ≥ 13) OR (grade ≥ 9)) AND (age < 18) Option B,((age ≥ 13) OR (grade ≥ 9)) AND (age < 18) B ((age ≥ 13) OR (grade ≥ 9)) OR (age ≤ 18) Option C,((age ≥ 13) OR (grade ≥ 9)) OR (age ≤ 18) C ((age ≥ 13) OR (grade ≥ 9)) OR (age < 18)

Answer 1

Option B.

Reason: eligibility requires (age ≥ 13 OR grade ≥ 9) AND age < 18. The "must not yet be 18" means age strictly less than 18, so ≤18 (Option A) would incorrectly allow 18-year-olds.