Last updated on Oct 23, 2026

Quadratic Inequalities (Leaving Cert Mathematics): Quizzes

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Quadratic Inequalities

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What makes an inequality a quadratic inequality?

Highest power of variable is 2

What is the first step when solving $x^2-5x<-6$ ?

Bring all terms to one side

After rearranging to $x^2-5x+6<0$ , what is the next step?

Factorise the quadratic

From $(x-2)(x-3)<0$ , what are the roots?

$x=2$ and $x=3$

What is a region test used for in quadratic inequalities?

To determine correct interval

How many dummy values should be picked for a region test?

Three values

For roots $x=2$ and $x=3$ , which are suitable dummy values?

$1, 2.5,$ and $4$

For which dummy value was the inequality $x^2-5x<-6$ satisfied?

$x=2.5$

What is the final solution to $x^2-5x<-6$ ?

$2<x<3$

When testing $x=1$ in $x^2-5x<-6$ , what result shows it doesn't satisfy?

$-4 \not< -6$

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Inequalities

Modulus

Inequality Proofs & Discriminants

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Inequalities

Modulus

Inequality Proofs & Discriminants

Explore Leaving Cert Mathematics Flashcards by Topics

Inequalities

Modulus

Inequality Proofs & Discriminants

Explore Leaving Cert Mathematics Exam Questions by Topics

Inequalities

Modulus

Inequality Proofs & Discriminants

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