Properties provable by axiioms Flashcards Preview

Algebra 2 > Properties provable by axiioms > Flashcards

Flashcards in Properties provable by axiioms Deck (10)
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1
Q

-1 x y= -y

A

Multiplication Property

2
Q

x - y = x + (-y)

A

Definition of subrtaction

3
Q

if x is a real number then x=x

A

Reflexive axiom

4
Q

if x=y, then y=x

A

Symmetry Axiom

5
Q

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

A

Transitive axiom for equality

6
Q

If xy and y>z, then x>z

A

Transitive Axiom for order

7
Q

If y and x are real numbers, then exactly one of these is true:
y>x
y<x
y=x

A

Trichotomy Axiom

8
Q

If z=x, then x+y and z+y stand for equal numbers

A

Substitution for Sums property

9
Q

If z=x, then X x y and z x X stand for equal numbers

A

Substitution into products property

10
Q

if x+y, then x+z=y+z

A

Addition property of equality