Search Header Logo
  1. Resource Library
  2. Math
  3. Algebra
  4. Interval Notation
  5. Understanding Interval Notation And Inequalities
Understanding Interval Notation and Inequalities

Understanding Interval Notation and Inequalities

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

This video tutorial explains how to solve a quadratic inequality and graph it on a number line. The process involves making the leading coefficient positive, solving the quadratic equation by finding its factors, and graphing the inequality. The solution is presented in both set and interval notation, with a detailed explanation of why the graph behaves as it does. The tutorial concludes with a summary and an invitation to subscribe for more content.

Read more

15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving a quadratic inequality?

Graphing the inequality

Finding the factors

Ensuring the leading coefficient is positive

Using set notation

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to have a positive leading coefficient in a quadratic inequality?

To correctly apply the inequality rules

To simplify the graphing process

To ensure the inequality is solvable

To make the equation linear

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is performed to make the leading coefficient positive?

Multiplying by a negative sign

Subtracting a constant

Adding a constant

Dividing by a positive number

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the inequality sign when you multiply the inequality by a negative number?

It becomes an equal sign

It remains the same

It reverses direction

It becomes a less than sign

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the next step after making the leading coefficient positive?

Using set notation

Finding the factors of the quadratic equation

Graphing the inequality

Checking the solution

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the factors of the quadratic equation 2x^2 + x - 3 = 0?

(2x - 3)(x + 1)

(x - 3)(2x + 1)

(2x + 3)(x - 1)

(x + 3)(2x - 1)

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the solutions for x in the equation 2x + 3 = 0?

x = 1

x = -1

x = -3/2

x = 3/2

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Classlink

Continue with Classlink

Clever

Continue with Clever

or continue with

Microsoft

Microsoft

Apple

Apple

Others

Others

Already have an account?