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Math for IT-I

SET:
A collection of well-defined, distinct things is called set.
Empty Set: f = { }
A set having no element is called empty set. For example: Students of BS (IT) having age less than Five Year.
Subset (?)
If A & B are two sets AND all elements of A lies in B then A is Subset of B.
A= {1, 2, 3, 4, 5}
B= {1, 2, 3 ?}
A ? B or A Contain in B

There are two types of Subsets

Proper Subset
Improper Subset

Proper Subset:
If B has at least ONE more element than in A, Then A is the proper Subset of B.
A= {1, 2, 3, 4, 5}
B= {1, 2, 3 ?}
A ? B
Improper Subset:
If B and A has same elements then A is improper subset of B. And so on.
A= {1, 2, 3, 4, 5}
B= {1, 2, 3, 4, 5}
A ? B
Some Things to Remember:

Natural Numbers : N= {1, 2, 3, 4, 5?}
Whole Numbers : W= {0, 1, 2, 3, 4?}
Integers : Z= {0, +1, +2, +3, +4, +5?}
Odd Numbers : O= {+1, +3, +5, +7?}
Even Numbers : E= {+2, +4, +6, +8?}
Rational Numbers : Q= {p/q & p,q ? Z & q ?0}
Irrational Numbers : Q?= {The Numbers that are Not Rational Are called Irrational}
Real Numbers : ?= {Q U Q?}

? A number whose square is positive is a real number
? A number whose square is negative is complex number.