SETS
A well-defined collection of items/objects.
SET
Consider A = {B,E,S,T}. How many subsets does it have?
24 = 16
MDAS meaning
Multiplication
Division
Addition
Subtraction
Intersection of set symbol
∩
What is the absolute value of -3?
+3
Which of the following sets are well-defined?
A. The set of all large numbers
B.The set of beautiful lady
C. The set of all boys in Grade 7 in LEMS.
C. The set of all boys in Grade 7 in LEMS.
Which of these sets is equivalent but not equal to {Ram, Jay, Mick}?
A.{Mick, Jay, Olga}
B.{Andy, Ram, Ed, Jay}
C.{Mick, Jay, Ram}
A.{Mick, Jay, Olga}
PEMDAS meaning
P- Parentheses, E- Exponents, M- Multiplication, D- Division, A- Addition, and S- Subtraction.
A = {1,3,5,7}
B = {1,2,3,4}
What is the A ∪ B?
A ∪ B = {1,2,3,4,5,7}
COMBINING THE ELEMENTS OF SET A AND SET B.
Distributive Properties
3 (8 – 4) = 3 (8 – 4)
3 (8 – 4) = 3 (8 – 4)
3 (4) = (3) (8) – (3) (4)
12 = 24 – 12
12 =12
List all the elements in A = (letters in the word “BOOK”}.
A.A = { }
B.A = {B,O,O,K}
C.A = {B,O,K}
C.A = {B,O,K}
A set with no elements. It is represented by_____ (a set with no elements).
∅ or by {}
BEDMAS meaning
Brackets, Exponents, Division, Multiplication, Addition, and Subtraction
5 + 15
20
Closure Property
5+3=
8
Write {even whole numbers between 3 to 15} using the roster method.
A.{4,6,8,10,12,14}
B.{5,7,9,11,13}
C.{2,4,6,8,10,12,14,16}
A.{4,6,8,10,12,14}
Every member of set A is also a member of set B, then set A is said to be a_________
Subset
5+2×3
11
Complement of a Set
∪ = {1,2,3,4,5}
B = {2,3,4}
Is the set of elements in the universal set that are not in B.
B' = {1,5}
Commutative Properties
7 + 3 =_____ and 3 + 7 =_____
10
Describe this set in words: {2,4,5,7,11,13,17,19}.
. Describe this set in words: {2,3,5,7,11,13,17,19}.
A.Set of whole numbers less than 20
B.Set of prime numbers from 2 to 19
C.Set of odd numbers less than 20
B.Set of prime numbers from 2 to 19
C.Set of odd numbers less than 20
A.Set of whole numbers less than 20
Denoted by capital letter U is a set of all elements in its subset.
UNION OR UNIVERSAL SET
6(5+7)+9
81
∪ = {1,2,3,4,5}
What is the cardinality of C = {1,2,3,4,5}
∅ null set or {}empty set
Founder of set theory
GEORG CANTOR