Quadratic Inequalities (Grade 12 NSC Matric Mathematics): Flashcards

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Quadratic Inequalities
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Quadratic inequality definition

Quadratic expression with inequality symbol (>, <, ≥, ≤)

Condition a≠0a ≠ 0 in ax2+bx+cax^2 + bx + c

Ensures we have a quadratic expression

Solution type for quadratic inequality

Range of x-values, not specific values

Critical points/values

Roots or x-intercepts where parabola crosses x-axis

When to reverse inequality sign

When multiplying/dividing by negative number

Parabola direction when a>0a > 0

Opens upward

Parabola direction when a<0a < 0

Opens downward

Where to select for >0> 0 or ≥0≥ 0

Intervals where graph is above x-axis

Where to select for <0< 0 or ≤0≤ 0

Intervals where graph is below x-axis

Strict (< or >) vs non-strict (≤ or ≥) inequality

Strict excludes, non-strict includes critical points

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