Properties and Theorems CHARTS & TABLES
Properties and Theorems CHARTS & TABLES
Properties and Theorems (continued)
Substitution Property of Equality
If a=b,then
amay be substituted for bin any expression
and
bmay be substituted for ain any expression
Subtraction of Real Numbers
a–b=a+ –b
Symmetric Property of Equality
If a=b,then b=a
Transitive Property of Equality
If a=b,and b=c,then a=c
Transitive Property of Inequality
If a<b,and b<c,then a<c
and
If a>b,and b>c,then a>c
Trichotomy Property of Inequality
Either a<b, a=b,or a>b
Zero Exponent Theorem
If bis a nonzero real number, then
b^0 = 1
Zero Product Theorem
If a= 0 or b= 0, then ab= 0