SAT Math Multiple Choice Question 251: Answer and Explanation
11. If which of the following is not a possible value of a?
- A. 1.5
- B. 2
- C. 2.5
- D. 3
Correct Answer: D
Category: Heart of Algebra / Inequalities
Strategic Advice: Choose the best strategy to answer the question. Here, the fractions make it look more complicated than it really is, so start by clearing the fractions by multiplying everything by the least common denominator, 6.
Getting to the Answer: You don't need to separate this compound inequality into pieces. Just remember, whatever you do to one piece, you must do to all three pieces. Don't forget to flip the inequality symbols if you multiply or divide by a negative number.
Now, read the inequality symbols carefully. The value of a is between 1.5 and 3, including 1.5, but not including 3, so (D) is the correct answer.