Year 10
Higher

Solve quadratic inequalities (a > 1)

Year 10
Higher

Solve quadratic inequalities (a > 1)

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Lesson details

Key learning points

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

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This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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3 Questions

Q1.
What is the solution set for x² + x - 6 > 0?
An image in a quiz
A
Correct answer: B
C
D
Q2.
What is the solution set for x² + 3x - 4 < 0?
An image in a quiz
A
B
Correct answer: C
D
Q3.
Why does x² + 9 < 0 not have any solutions?
An image in a quiz
A
B
C
Correct answer: D

3 Questions

Q1.
What is the solution set for 10x² + 33x - 7≤ 0?
An image in a quiz
A
B
C
Correct answer: D
Q2.
What is the solution set for 2x² + 2x – 30 < 5x + 24?
An image in a quiz
A
B
C
Correct answer: D
Q3.
Which option is a quadratic inequality that has a solution set of {x: x >1.5 ∪ x < -0.5}?
An image in a quiz
A
B
Correct answer: C
D