Solving Linear Inequalities (VCE SSCE Mathematical Methods): Quizzes

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Solving Linear Inequalities
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What symbol is used in an inequality instead of an equals sign?

An inequality symbol like << or >>

How many solutions do inequalities usually have?

Infinitely many solutions

When must you reverse the inequality symbol?

When multiplying or dividing by negative

If you divide both sides by a negative, << becomes what?

>>

When do you use a closed circle (•) on a number line?

When endpoint is included (\leq or \geq)

What does an open circle (○) mean on a number line?

Endpoint is not included

Solve: 2x+1<42x + 1 < 4

x<32x < \frac{3}{2}

Solve: 32x43 - 2x \leq 4

x12x \geq -\frac{1}{2}

What should you do first with fractions in inequalities?

Multiply by lowest common denominator

What is the most common mistake with inequalities?

Forgetting to flip sign when dividing by negative

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