Practice General Form (8.2) - Quadratic Inequalities - IB 10 Mathematics

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9 questions

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6 sample questions

Question 1.
Solve x² + 2x - 15 > 0
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Factor the expression and find the roots.
Question 2.
Solve x² - 4x + 4 ≤ 0
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This quadratic is a perfect square.
3Question 3.
What form does a quadratic inequality take?
- a) ax² + bx + c
- b) ax² + bx + c < 0
- c) ax² + bx + c > 0
- d) Both b and c
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Remember that they involve comparisons.
4Question 4.
True or False: A quadratic inequality can have more than one solution.
- True
- False
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Think about the number line representation.
Question 5.
Find the range of values for x in the inequality x² - 4x - 5 < 0.
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Start by factoring the expression.
Question 6.
A company models profit with the inequality -2x² + 8x - 6 ≥ 0, where x is the number of products sold. Find the range of x that ensures profit.
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Identify where the profit model touches or exceeds zero.

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