Unit 1: Sets, Venn Diagrams and Probability - Grade 9 Flashcards
“listed by roster”
When all the elements are shown
“listed by rule”
Ex: A = {x|1 < x < 5, x E Z}
| represents
represents
“such that”
Subset of a set
Set P is a subset of set Q if every element of P is also an element of Q we write P is < or equal to Q
Empty (null) set
0 (with a line through) = { }
“Universal set”
U = {all elements under consideration}
With a line through
= - is not equal to
E - is not an element of
< - is not an element of
Union of sets
AUB = {elements in A or B}
Intersection of sets
A^B = {elements in A and B}
N
Natural Numbers - {0, 1, 2, 3, 4}
Z
Integers - {,… , -3, -2, -1, 0, 1, 2, 3}
- Z+ are only positive numbers
Q
Rational numbers - {x | x = a/b, a}
- Q+ are only positive rational numbers
- set builder notation (rule)
*the way it is written
R
Real numbers
Coordinality of a set
The number of elements in the set
- ex: A = {1, 4, 7} —> 4
Complement of a set
The complement of set A is denoted by A’ (is prime) and described in set notation as A = {x|x E U, x…}
- Complement is the part the set does not have.
- A’ is the complement of A
