Quadratic inequalities
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Flip to reveal answersFirst step to solve a quadratic inequality?
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All 9 Flashcards — Quadratic inequalities
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Question
First step to solve a quadratic inequality?
Answer
Rearrange to one side, then find the roots (solve = 0).
Question
Upward parabola: where is f(x) < 0?
Answer
Between the roots.
Question
Upward parabola: where is f(x) > 0?
Answer
Outside the roots: x < p or x > q.
Question
Downward parabola: where is f(x) > 0?
Answer
Between the roots (the reverse of an upward one).
Question
How do you write the 'outside' solution?
Answer
Two inequalities joined by 'or': x < p or x > q.
Question
How do you write the 'between' solution?
Answer
A single chain: p ≤ x ≤ q (or p < x < q).
Question
Open vs closed ends?
Answer
Use ≤/≥ (closed) when equality is included; </> (open) when not.
Question
If you multiply an inequality by a negative, what happens?
Answer
Reverse the inequality sign.
Question
Solve x² − x − 6 > 0.
Answer
Roots −2, 3; upward → outside: x < −2 or x > 3.
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Full study notes for Quadratic inequalities
Topic 2.7 hub
Quadratic equations & discriminant
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