Axioms for Chapter 1b Test Flashcards

1
Q

Reflexive axiom of equality

A

x=x

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2
Q

Symmetry axiom of equality

A

If x=y, then y=x

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3
Q

Transitivity axiom of equality

A

If x=y and y=z then x=z

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4
Q

Transitivity axiom of order

A

If x >y and y>z then x>z

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5
Q

Trichotomy

A

Exactly one is true:

x>y, y>x, or x=y

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