Solving Quadratic Inequalities (VCE SSCE Mathematical Methods): Flashcards

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Solving quadratic inequalities
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Quadratic inequality

Quadratic with >>, <<, geqgeq, or leqleq instead of ==

Why graphical method for quadratic inequalities

Curved relationship, not straight like linear

SSU method stands for

Solve, Sketch, Use

SSU Step 1

Solve equation to find x-intercepts

SSU Step 2

Sketch graph, check parabola direction

SSU Step 3

Use graph to find solution intervals

Positive x2x^2 coefficient → parabola shape

Opens upward (U-shaped)

Negative x2x^2 coefficient → parabola shape

Opens downward (upside-down U)

For >> or geqgeq, graph is where?

Above x-axis

For << or leqleq, graph is where?

Below x-axis

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