Proofs involving inequalities and graphs (HSC SSCE Mathematics Extension 2): Quizzes

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Proofs involving inequalities and graphs
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What does the transitive property state?

If a > b and b > c, then a > c

What is the reflexive property?

a = a for any number a

What do asymptotes represent in graphs?

Lines graphs approach but never touch

What is the purpose of plotting graphs?

To visualize function relationships

What does proof by contradiction involve?

Assuming the opposite to find a truth

How can derivatives help in inequalities?

By finding maximum values

What is a key use of inequalities in geometry?

To define and limit shapes

What is the first step in solving 2x + 3 > 5?

Subtract 3 from both sides

What do slopes indicate in a graph?

The steepness of a line

What is a polynomial inequality?

An inequality involving polynomials

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