Free Practice Question
PS · Problem Solving
505-555
Inequalities
Given that x – y > 8 and 3x + y > 40, which expression encompasses all potential values of x?
Answer Choices
Correct answer marked belowA
x > 8
B
8 < x < 20
x > 12
Correct
D
14 < x < 40
E
x > 40
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
We start with the inequalities x – y > 8 and 3x + y > 40. Since both inequalities have the same direction, we can add them together. This…
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
J
JasonFeb 8, 2025
Any shortcuts for solving this faster?
P
PhilemonFeb 2, 2025
thanks for taking time to upload it!
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
505-555
Type
PS
Category