Set notation

Empty Set

circle with line ∅

Natural Numbers (all postive integars)

N

Intergars (including zero)

Z

Set of all real numbers including all possible decimals

R

a set in set notation

{expression : condition for x}

Set notation for two variable expressions

{expression in x and y : x,y condition}

Set notation for x is less than b and less than a

{x: x is in R, x>b} intersection {x: x is in R, x<a}

Range in set notation that the function is >a

{f(x) : f(x) is in R, f(x)>a}

when can you write a double condition two ways?

When it is an intersection

write the range of a function is that exists for greater than 7 and less than 2

{f(x): f(x) is in R, f(x)<2} union {f(x): f(x) is in R, f(x)>7}