Quadratic inequalities (HSC SSCE Mathematics Extension 1): Flashcards
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What are quadratic inequalities?
What are quadratic inequalities?
Expressions with inequalities involving quadratic polynomials.
How do quadratic inequalities differ from equations?
How do quadratic inequalities differ from equations?
They focus on ranges of solutions, not exact values.
What is the first step in solving quadratic inequalities?
What is the first step in solving quadratic inequalities?
Set the inequality to zero and find the critical points.
What method helps analyze intervals in inequalities?
What method helps analyze intervals in inequalities?
Use the Sign of the Factors Method for interval testing.
What is a critical point in solving inequalities?
What is a critical point in solving inequalities?
Points where the expression equals zero, defining intervals.
How do you visualize solutions to quadratic inequalities?
How do you visualize solutions to quadratic inequalities?
Graph the quadratic function and identify intervals.
What happens when you divide by a negative in inequalities?
What happens when you divide by a negative in inequalities?
The inequality sign flips direction.
What should you avoid when solving rational inequalities?
What should you avoid when solving rational inequalities?
Ensure the denominator is not zero.
What tools can help check solutions graphically?
What tools can help check solutions graphically?
Use Desmos or GeoGebra for analysis and verification.
What is a common mistake in solving inequalities?
What is a common mistake in solving inequalities?
Missing sign flips when multiplying or dividing by negatives.