# Solve quadratic inequalities (a > 1)

In this lesson, we will solve quadratic inequalities with an x² coefficient greater than 1 and express solutions using set notation.

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

# Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.What is the solution set for x² + x - 6 > 0?

1/3

Q2.What is the solution set for x² + 3x - 4 < 0?

2/3

Q3.Why does x² + 9 < 0 not have any solutions?

3/3

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

# Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.What is the solution set for x² + x - 6 > 0?

1/3

Q2.What is the solution set for x² + 3x - 4 < 0?

2/3

Q3.Why does x² + 9 < 0 not have any solutions?

3/3

# Video

Click on the play button to start the video. If your teacher asks you to pause the video and look at the worksheet you should:

• Click "Close Video"
• Click "Next" to view the activity

Your video will re-appear on the next page, and will stay paused in the right place.

# Worksheet

These slides will take you through some tasks for the lesson. If you need to re-play the video, click the ‘Resume Video’ icon. If you are asked to add answers to the slides, first download or print out the worksheet. Once you have finished all the tasks, click ‘Next’ below.

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

Solve quadratic inequalities with an x² coefficient greater than 1 and express solutions using set notation.

Q1.What is the solution set for 10x² + 33x - 7≤ 0?

1/3

Q2.What is the solution set for 2x² + 2x – 30 < 5x + 24?

2/3

Q3.Which option is a quadratic inequality that has a solution set of {x: x >1.5 ∪ x < -0.5}?

3/3

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

Solve quadratic inequalities with an x² coefficient greater than 1 and express solutions using set notation.

Q1.What is the solution set for 10x² + 33x - 7≤ 0?

1/3

Q2.What is the solution set for 2x² + 2x – 30 < 5x + 24?

2/3

Q3.Which option is a quadratic inequality that has a solution set of {x: x >1.5 ∪ x < -0.5}?

3/3

# Lesson summary: Solve quadratic inequalities (a > 1)

## Time to move!

Did you know that exercise helps your concentration and ability to learn?

For 5 mins...

Move around:
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On the spot:
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