15 terms

Three Possibilities Property

a<b or a=b or a>b

Transitive property of order

if a<b and b<c, then a<c

Addition Property

if a<b then a+c<b+c

Multiplication Property (c is positve)

if a<b then ac<bc

Multiplication Property (c is negative)

if a<b then ac>bc

natural numbers

1,2,3,4,5,6,7....

whole numbers

0,1,2,3,4,5,6,7...

integers

...-3,-2,-1,0,1,2,3...

rational numbers

any number which can be expressed as a ratio of two integers

Subtraction Property

If a > b, then a-c >b-c

Division Property

If a > b and c > 0, then a/c > b/c

"Whole is Great Than its Parts" Property

If c = a + b and b > 0, then c > a

Theorem 18

If two sides of triangle are unequal the angles opposite them are also unequal in the same order

Theorem 19

If two angles of a triangle are unequal the sides opposite them are also unequal in the same order

Triangle Inequality Theorem

The sum of any two angles in triangle is greater than the third side