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Quadratic Inequalities Quiz

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Quadratic Inequalities Quiz

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One-variable quadratic inequalities

Created by

WILFRED FONTANILLA
WILFRED FONTANILLA
Philippines

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Quadratic Inequalities Quiz
 

Quadratic Inequalities QuizOnline version

One-variable quadratic inequalities

by WILFRED FONTANILLA
1

Solve: x^2 - 5x + 6 > 0. Which intervals satisfy the inequality?

2

If x^2 - 7x + 10 ≥ 0, the solution is:

3

For which x is x^2 - 8x + 15 ≤ 0?

4

Solve x^2 - 2x - 3 ≥ 0. Solution set is:

5

If x^2 + 2x - 8 < 0, what's the interval?

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The roots are x=2 and x=3. Parabola opens up, so outside the roots gives >0.

Roots at x=5 and x=2? Wait, factor: (x-5)(x-2)=x^2-7x+10; ≥0 outside the interval [2,5]. So (-∞,2] ∪ [5,∞).

Factor (x-3)(x-5) ≤ 0, true between the roots 3 and 5 inclusive.

Roots at x=-1 and x=3; outside interval is ≥0.

Factor (x+4)(x-2)<0; negative between roots -4 and 2.

 
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