Quadratic Inequalities (Leaving Cert Mathematics): Flashcards

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Quadratic Inequalities
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What is a quadratic inequality?

An inequality where the highest power of the variable is 2

First step in solving a quadratic inequality?

Bring all terms to one side

Second step in solving a quadratic inequality?

Factorise the quadratic equation

What is the purpose of a region test?

Determine which interval satisfies the inequality

How many dummy values for region test?

Three values

Where to pick dummy values?

One within range of roots, two outside range

What to do with dummy values in region test?

Insert each into original inequality to check if satisfied

How to find the correct interval?

Test intervals with dummy values to see which satisfies inequality

Roots of (x−2)(x−3)<0(x-2)(x-3)<0

x=2x=2 and x=3x=3

Solution to x2−5x+6<0x^2-5x+6<0

2<x<32<x<3

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