Nonlinear Inequalities and Critical Values

Nonlinear Inequalities and Critical Values

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial covers solving nonlinear inequalities, starting with an introduction to the concept. It explains the steps involved in solving these inequalities, including moving terms to one side, factoring, finding critical values, and using test points. The tutorial provides examples, including those with fractional expressions, and discusses the application of these methods in determining the domain of functions.

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13 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

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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