Solving Linear Inequalities (VCE SSCE Mathematical Methods): Flashcards

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Solving Linear Inequalities
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What an inequality uses instead of equals sign

Inequality symbols (<<, >>, leqleq, geqgeq)

What solving an inequality finds

All values that make the statement true

Number of solutions inequalities usually have

Infinitely many

Rule when dividing inequality by a negative

Reverse the inequality symbol direction

Symbol on number line when endpoint is included

Closed circle (•)

Symbol on number line when endpoint not included

Open circle (○)

Inequality symbols using closed circle

\leq or \geq

Inequality symbols using open circle

<< or >>

How to clear fractions in inequalities

Multiply both sides by lowest common denominator

Most common mistake with inequalities

Forgetting to flip sign when dividing/multiplying by negative

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