Quadratic Inequalities
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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16 questions
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1.
FLASHCARD QUESTION
Front
What is a quadratic inequality?
Back
A quadratic inequality is an inequality that involves a quadratic expression, typically in the form ax² + bx + c < 0, ax² + bx + c > 0, ax² + bx + c ≤ 0, or ax² + bx + c ≥ 0.
2.
FLASHCARD QUESTION
Front
How do you solve a quadratic inequality?
Back
To solve a quadratic inequality, first solve the corresponding quadratic equation to find the critical points. Then, test intervals between these points to determine where the inequality holds true.
3.
FLASHCARD QUESTION
Front
What does the graph of a quadratic inequality represent?
Back
The graph of a quadratic inequality represents the set of all points (x, y) that satisfy the inequality, typically shown as a shaded region above or below the parabola.
4.
FLASHCARD QUESTION
Front
What is the significance of the critical points in quadratic inequalities?
Back
Critical points are the x-values where the quadratic expression equals zero. They divide the number line into intervals that can be tested to determine where the inequality is satisfied.
5.
FLASHCARD QUESTION
Front
Solve: 2x² + 5x ≥ 12
Back
x ≤ -4 or x ≥ 1.5
6.
FLASHCARD QUESTION
Front
Is (2, 3) part of the solution set for y < 2x² - 3x + 1?
Back
No
7.
FLASHCARD QUESTION
Front
Which inequality is represented by the graph? y > (x + 3)² - 3
Back
y > (x + 3)² - 3
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