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1. VENN DIAGRAM
MS. G. MARTIN

2. VENN DIAGRAM
 A Venn diagram, also called primary diagram, set diagram or logic
diagram, is a diagram that shows all possible logical relations
between a finite collection of different sets. These diagrams depict
elements as points in the plane, and sets as regions inside closed
curves
It is an illustration that uses circles to show the relationships
among things or finite groups of things. Circles that overlap have a
commonality while circles that do not overlap do not share those
traits.Venn diagrams help to visually represent the similarities and
differences between two concepts.

3. John Venn, (born August 4, 1834, Kingston upon Hull,
England—died April 4, 1923, Cambridge), English logician
and philosopher best known as the inventor of diagrams—
known as Venn diagrams—for representing categorical
propositions and testing the validity of categorical syllogisms.

4. UNION SET
 The union of sets A and B, denoted by A ∪ B is the
set of all elements in A or B, or in both A and B.
A = {1, 3, 5, }
B = {10, 20, 30}
A ∪ B = {1, 3, 5, 10, 20, 30 }

5. Examples:
1. Let A = {mango, apple, grapes}
B = {banana, orange, pineapple}
A ∪ B ={mango, apple, grapes, banana, orange, pineapple}
2. Let C = {1, 3, 5, 7, 9}
D = {2, 4, 6, 8, 10}
C ∪ D = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
3. Let P = {x / x is divisible by 5 less than 20}
R = {4, 8, 12}
Q = {3, 5, 7}
P ∪ R = {4, 5, 8, 10, 12, 15}
P ∪ Q = {3, 5, 7, 10, 15}

6. INTERSECTION
 The intersection of sets A and B, denoted by A ∩ B,
is the set of all elements common to A and B.
A = {1, 3, 5, 7, 9}
B = {3, 6, 9, 12, }
A ∩ B = {3, 9}

7. Examples:
1. Let A = {11, 12, 13, 14, 15}
B = {12, 24, 36, 48}
A ∩ B = {12}
2. Let M = {1, 3, 5, 7, 9}
N = {2, 5, 6, 9 ,15}
P = {2, 7, 10, 15}
M ∩ N = {5, 9}
M ∩ P = {7}
P ∩ N = {2, 15}

8. LET’S APPLY!
1. Let A = {2, 4, 8, 16}
B = {2, 3, 5, 7, 9}
C = {4, 5, 6, 7}
A ∪ B = {2, 3, 4, 5, 7, 8, 9, 16}
B ∪ C = {2, 3, 4, 5, 6, 7, 9}
A ∩ C = {4}
B ∩ C = {5, 7}
B ∩ A = {2,}
2. M = {2, 4, 6, 8, 10}
N = {10, 20, 30}
P = {5, 15, 25}
M ∪ P = {2, 4, 5, 6, 8, 10, 15, 25}
M ∩ P = { }
(M ∩ N) ∪ P = {10, 5, 15, 25}
(P ∪ N ∪ M) = {2, 4, 5, 6, 8, 10, 15,
20, 25, 30}

9. U = {x / x is a whole number up to 10}
= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
A = {1, 3, 5, 7, 9}
B = {6, 7, 8, 9, 10}
7 and 9 are the common elements of
set A and B.

10. U = {1, 2, 3, 4, 5, 6, 7, 8, 10}
X = {1, 2, 6, 7}
Y = {1, 3, 4, 5, 8}

11. Disjoint Set
Let A = {1, 0, 5, 9}
B = {-5, 2, 4}