SETS
Set = A collection of objects
E
= {0, 2, 4,…}
P = {2, 3, 5, 7,…}
A = {A, B, C, D, . . ., Z}
Two sets are same if their elements are
the same.
A = {1,2,3}
B = {2,1,3}
A
B: If each element of A is in B.
A
B: if A
B and A
B.
A
B,
A
B, A – B.

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SOME SPECIAL SETS
: Natural Numbers
: Integers
: Rational Numbers
: Real Numbers
.

P
ROPERTIES
:
S
ET
O
PERATIONS
Let A, B, and C be sets.
Idempotency
A
A = A
A
A
=A
Commutativity
A
B = B
A
A
B = B
A
Associativity
A
(B
C ) = (A
B)
C
A
(B
C ) = (A
B)
C
Distributivity
(A
B)
C = (A
C)
(B
C)
(A
B)
C = (A
C)
(B
C)

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