Question

Choose a set of integers that best represents the solutions to the inequality shown below:

17 > 2

A) {0, 1, 2, 3, 4}
B) {17, 18, 19, 20}
C) {17, 16, 15, 14}
D) {0, 17, 25, -5}

Answer 1

The correct set of integers representing the solutions to the inequality 17 > A is any set of integers less than 17, with the closest provided option being C) {17, 16, 15, 14}. However, the number 17 should be excluded since it is not less than itself.

Step-by-step explanation:

The student is asked to choose a set of integers that best represents the solutions to the inequality 17 > A. The set of integers that satisfies this condition would include all integers that are less than 17. Thus, the correct answer is:

C) {17, 16, 15, 14}

This set contains numbers that are all less than 17, which satisfies the inequality 17 > A. However, since 17 is not less than 17, it should be excluded from the set. The set should only include integers that are strictly less than 17, which makes the accurate answer {16, 15, 14}, although option C is the closest to the correct choice provided.