Quadratic inequalities (AQA GCSE Further Maths): Quizzes

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Quadratic inequalities
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What type of solutions do quadratic inequalities have?

Ranges of values

If the coefficient of x2x^2 is positive, what shape does the parabola have?

Upward opening (U-shape)

When are endpoints NOT included in the solution?

When using << or >>

What notation is used for endpoints when using or ?

Solid circles (●)

In the short method, what must you do if a<0a < 0?

Multiply by 1-1 and flip inequality

For << or inequalities, where is the solution?

Between critical values

For >> or inequalities, where is the solution?

Outside the critical values

What are critical values in quadratic inequalities?

Points where expression crosses x-axis

When must you reverse the inequality sign?

When multiplying/dividing by negative

For upward-opening parabolas, what does 'less than' mean?

Between the roots

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