Free Practice Question
PS · Problem Solving
555-605
Inequalities
Consider the integers x, y, and z where 8 > x > -3, -4 > y > -6, and 1 > z > -5. Which of the following represents the maximum possible value of the product xyz?
Answer Choices
Correct answer marked belowA
30
B
48
C
60
D
72
140
Correct
See the full step-by-step explanation
You can see the correct answer above. Sign in for free to unlock the complete worked solution.
Track your performance and improve
Get detailed analytics, unlock full explanations, and move up difficulty tiers as you practice.
Explanation
Preview
Official Explanation
Official
In this scenario, x can take on both positive and negative values, y can only be negative, and z can also only be negative. To maximize the product…
Read the full explanation
Sign in for free to see the complete step-by-step solution to this question.
Comments
2
Sign in to join the discussion
A
ArkaFeb 4, 2024
thanks!
S
SongJul 2, 2024
Thank for sharing!!!
What this question tests
What it tests
Your ability to solve and combine linear inequalities and reason about ranges of values.
Common trap
Failing to flip the inequality sign when multiplying or dividing by a negative, or missing an inclusive/exclusive endpoint.
Details
Difficulty
555-605
Type
PS
Category