Solve quadratic inequalities (a > 1)
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Lesson details
Key learning points
- In this lesson, we will solve quadratic inequalities with an x² coefficient greater than 1 and express solutions using set notation.
Licence
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](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707211700%2Frpmneojco2hadwktfvdv.jpg&w=1920&q=75)
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Q2.
What is the solution set for x² + 3x - 4 < 0?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707211705%2Fcupeu8stqp629pqofv74.png&w=1920&q=75)
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Q3.
Why does x² + 9 < 0 not have any solutions?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707211715%2Fusygcfwqazlbbs3b3f9y.png&w=1920&q=75)
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3 Questions
Q1.
What is the solution set for 10x² + 33x - 7≤ 0?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707166186%2Fjtnp8ziqknpdw6n4yimt.png&w=1920&q=75)
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Q2.
What is the solution set for 2x² + 2x – 30 < 5x + 24?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707166195%2Fjydwj68zsnskjm7trvyu.jpg&w=1920&q=75)
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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](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707166197%2Febbzmvibf7wqfrynenqh.jpg&w=1920&q=75)
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