Free Practice Question
PS · Problem Solving
555-605
Algebra
Find the range of values of x that satisfy the inequality
Answer Choices
Correct answer marked belowA
x > 2
B
x > -2
C
2 < x < 4
x < -4 or -2 < x < 4
Correct
E
x < -4
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Explanation
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Official Explanation
Official
To solve the inequality , we first identify the roots of the expression. The roots occur when each factor is equal to zero:
From , we get (with multiplicity 2).
From , we get (with multiplicity 5).
From , we get and (with multiplicity 1 each).
The critical points are . We will test intervals determined by these points: (-∞, -4), (-4, -2), (-2, 4), and (4, ∞).
- For the interval (-∞, -4): Choose :
(negative)…
The critical points are . We will test intervals determined by these points: (-∞, -4), (-4, -2), (-2, 4), and (4, ∞).
- For the interval (-∞, -4): Choose :
(negative)…
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Comments
5
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R
RaparthyJan 4, 2025
Can you explain more?
A
amanJan 22, 2025
Great
M
MrinmoyFeb 5, 2025
Thank for sharing!!!
K
KabitaMar 22, 2024
thanks for taking time to upload it!
A
AkshayaMay 25, 2024
Great!
What this question tests
What it tests
Your ability to manipulate linear and quadratic expressions, substitute unknowns, and solve equations under time pressure.
Common trap
Losing a sign when moving terms across the equals sign, or dividing both sides by a variable that could equal zero.
Details
Difficulty
555-605
Type
PS
Category