Practice Example 1: Solve 𝑥² − 5𝑥 + 6 < 0 (3.1)

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6 sample questions

Question 1.
Solve x² − 7x + 10 < 0.
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Factorise, then test a value between the critical values.
Question 2.
Solve x² − 4 > 0.
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This is a difference of two squares.
3Question 3.
What are the critical values of x² − 5x + 6 < 0?
- 2 and 3
- −2 and −3
- 1 and 6
- 5 and 6
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Solve the related equation.
4Question 4.
What is the solution of x² − 5x + 6 < 0?
- 2 < x < 3
- x < 2 or x > 3
- 2 ≤ x ≤ 3
- x < 3
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Test x = 2.5.
Question 5.
Solve x² < 2x + 15.
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An inequality must have zero on one side before you can use signs.
Question 6.
Find the values of k for which x² + kx + 9 = 0 has two different real roots.
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Write a quadratic inequality in k using the discriminant.

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