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Identity Property of Addition

For every real number a,b, and c, if a>b, then a-c> b-c; if a<b, then a-c< b-c

Associative Property of Multiplication

For every real number a, b, and c, if a=b then a+c=b+c

Addition Property of Inequaltiy

fir every real number a, b, and c, if a=b then a-c=b-c.

Inverse Property of Addition

For every real number a, b,and c, if a=b then a*c=b*c

Identity Property of Multiplication

For every real number a and b, and for c>0, if a>b then ac>bc; if a<b, then ac<bc.
For every real number a and b, and for c<0, if a>b, then ac<bc; a<b, then ac<bc

Multiplication Property of Zero

For every real number a, b, and c, with c not equal to 0, if a=b then a/c=b/c

Multiplication Property of -1

For every real number a and b, and for c>0, if a>b, then a/c > b/c; if a<b, then a/c < b/c
For every real number a and b, and for c>0, if a<b, then a/c < b/c; if a>b, then a/c>b/c

Inverse Property of Multiplication

Forevery real Number a, a=a

Disributive Property

For every real number a and b, if a=b then b=a

Commutative Property of Addition

For every real number a, b, and c, if a=b and b=c, then a=c

Commutative Property of Multiplication

For every real number a, b, and c, if a<b and b<c, then a<c

Identity Property of Addition

For every real number a, b, and c, if a<b and b<c, then a<c

Associative Property of Addition