PSAT Math Multiple-Choice Question 765: Answer and Explanation

Question: 765

What represents the range of x-values in this inequality?
-3(x + 4) > 2x

• A.
• B.
• C.
• D.

Correct Answer: A

Explanation:

(A) First, isolate what's inside the parentheses by dividing both sides by -3. Remember to flip the inequality sign because you are dividing by a negative:

Next, get a common denominator for the x-terms:

Then subtract the left-side x-term from both sides of the inequality to get all x-terms on the right side:

Finally, divide both sides by , which is the same as multiplying both sides by .
Again, remember to flip the inequality since we are multiplying by a negative number:
or
The correct response is choice (A).