alg 2 unit 1

sets

collections of things called elements

subset

every element of set a is also in set b

• denoted with C

strict subset

every element of a is also in b and A is not equal to B

Proper Subset

every element in the first set is also in the second set, but the second set must be strictly larger

• denoted with c

Empty set

set with nothing in it

• denoted with {} or circle with slash

• empty set is a subset of every set

Relative Compliment of Set

if A and B are sets the relative compliment of B in A is the set of all elements in A but not B

• denoted as B/A or A-B

Absolute Compliment

if A is a set the absolute compliment is the set of every element not in A

• denoted with A’ or A^c

Real Numbers

any value that you can find on a continuous number line

• includes rational/irrational, ± integers, whole #, natural #

• R

Rational Number

expressed as a quotient of 2 integers

• denoted as Q

Irrational Number

cannot be expressed as a quotient of 2 integers

• denoted as R-Q or R/Q

Integers

± whole numbers including 0

• denoted with Z

whole numbers

non negative integers

• denoted with z >= 0

Natural/Counting Numbers

set of positive integers (NO 0)

• N

Equation

statement that states 2 quantities are equal

• could be true or false

Relation

matching/mapping of 2 sets

slope intercept form

y=mx+ b

point slope form

y-y1= m(x-x1)

abs x < k

-k<x<k

• WHEN K IS POSITIVE

abs x > k

x>k OR x< -k