Free Practice Question
PS · Problem Solving
505-555
Inequalities
Given the inequality x^2 – 4x – 12 < 0, which of the following ranges includes all possible values of x?
Answer Choices
Correct answer marked belowA
– 6 < x < – 2
B
– 6 < x < 6
– 2 < x < 6
Correct
D
x < – 3 or x > 6
E
x < – 6 or x > 2
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Explanation
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Official Explanation
Official
To solve the inequality , we can factor it as . This means that one of the factors must be negative while the other is positive. Since…
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Comments
2
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7
72_PreranaNov 12, 2024
Tricky wording but good practice
J
JayaMar 14, 2024
thanks a lot
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