Free Practice Question
PS · Problem Solving
505-555
Inequalities
Given that −5 ≤ a ≤ 15 and 4 ≤ b ≤ 9, which of the following represents the possible values of ab?
Answer Choices
Correct answer marked below−45 ≤ ab ≤ 135
Correct
B
−45 ≤ ab ≤ −20
C
−20 ≤ ab ≤ 45
D
−20 ≤ ab ≤ 135
E
45 ≤ ab ≤ 135
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Explanation
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Official Explanation
Official
We have the ranges −5 ≤ a ≤ 15 and 4 ≤ b ≤ 9. To find the possible values of ab, we multiply the extreme values: -5 * 4 = -20,…
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Comments
2
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A
ANUBHANov 22, 2024
greatt question!
S
SJun 19, 2024
thanks!
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