PSAT Math Multiple-Choice Question 92: Answer and Explanation

Question: 92

Which of the following values of y would make the above inequality true?

• A. -3
• B. -2
• C. 0
• D. 3

Correct Answer: A

Explanation:

A

The question asks for the value of y that makes the inequality true. Although the question asks for a specific value and there are numbers in the answer choices, plugging in the answers could be difficult given the negative values of some answer choices. Instead, solve the inequality for y. Start by multiplying both sides of the inequality by 4 to eliminate the fraction. The inequality becomes 4y < 3y - 2. Next, subtract 3y from both sides to get y < -2. Because the value of y must be less than -2, (B), (C), and (D) are all too large. The correct answer is (A).