Axioms Exam Questions and Answers 100% Correct

Axioms Exam Questions and
Answers 100% Correct
Closure Axiom of Addition - ANSWER - a+b=c, where c is a unique real number


Closure Axiom of Multiplication - ANSWER - ab=c, where c is a unique real number


Commutative Axiom of Addition - ANSWER - a+b=b+a


Commutative Axiom of Multiplication - ANSWER - ab=ba


Associative Axiom of Addition - ANSWER - a+(b+c)=(a+b)+c


Associative Axiom of Multiplication - ANSWER - a(bc)=(ab)c


Identity Axiom of Addition - ANSWER - a+0=0+a=a, where 0 is unique


Identity Axiom of Multiplication - ANSWER - a(1)=(1)a=a, where 1 is unique


Inverse Axiom of Addition - ANSWER - a+(-a)=(-a)+a=0 where -a is unique


Inverse Axiom of Multiplication - ANSWER - a(1/a)=(1/a)a=1 where 1/a is unique, a
doesn't = 0


Multiplication Axiom of Inequality (>) - ANSWER - If a>b and c>0 then ac>bc
If a>b and c<0 then ac<bc


Transitive Axiom of Inequality (>) - ANSWER - If a>b and b>c then a>c