Linear Inequalities (HSC SSCE Mathematics Advanced): Flashcards

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Linear Inequalities
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Definition of an inequality

Statement comparing quantities showing range of values

Strict inequalities symbols

<< and >> (don't include boundary value)

Inclusive inequalities symbols

≤\leq and ≥\geq (include boundary value)

Effect of multiplying/dividing by negative on inequality

Reverses the inequality direction

Effect of adding/subtracting on inequality direction

Keeps inequality direction unchanged

Number line symbol for strict inequalities (<< or >>)

Open circle (○)

Number line symbol for ≤\leq or ≥\geq

Closed circle (●)

Arrow direction for >> or ≥\geq on number line

Right (values greater than boundary)

Arrow direction for << or ≤\leq on number line

Left (values less than boundary)

How to verify an inequality solution

Test value inside solution set (true) and outside (false)

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