Free Practice Question
PS · Problem Solving
555-605
Inequalities
Given that integers a and b satisfy the conditions 6 ≥ a > 2 and b ≥ – 3, which of the following values cannot be achieved by a – b?
Answer Choices
Correct answer marked belowA
–6
B
–4
C
3
D
9
10
Correct
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Explanation
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Official Explanation
Official
We start with the inequalities: 6 ≥ a > 2, which can be rewritten as 2 < a ≤ 6. This tells us that the maximum value of a is 6. We also know that b ≥ – 3. To align the inequalities, we can manipulate b. If we take b ≥ – 3 and multiply both…
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2
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B
BellaMar 1, 2024
Thanks for sharingThank you for sharing!!thanks for sharing
L
LEVIATHANMar 24, 2024
appreciated!
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