What is the highest power of x in a nonlinear inequality?

Nonlinear Inequalities and Critical Values

Interactive Video
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Mathematics
•
9th - 10th Grade
•
Hard

Thomas White
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13 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
3
2
4
1
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in solving a nonlinear inequality?
Use a number line
Move all terms to one side
Factor the expression
Find the critical values
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it preferred to have the x squared term positive?
It simplifies factoring
It is a standard mathematical convention
It makes the inequality easier to solve
It ensures the solution is correct
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does factoring the expression help to identify?
The test points
The highest power
The critical values
The solution intervals
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are critical values in the context of inequalities?
Values where the expression equals zero
Values where the expression is minimum
Values where the expression is undefined
Values where the expression is maximum
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you determine which segments of the number line are solutions?
By finding the maximum value
By calculating the derivative
By checking the sign of the expression
By solving the equation
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the solution interval for the inequality x^2 - 2x - 3 > 0?
(-∞, -1) ∪ (2, ∞)
(-∞, 0) ∪ (3, ∞)
(-∞, 1) ∪ (3, ∞)
(-∞, -1) ∪ (3, ∞)
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