math set theory logic


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Question 2
Question: List the elements of the following sets and specify whether they are finite or infinite: Answer: (i) Since there is no natural number lying between 2 and 3, the set is a null set i.e. f . This is a finite set. (i) Since there ar..
Example:
A set containing 2,3,5,7,8 is Written as {2,3,5,7,8} in Roster metho..
Sequences and Series
Introduction - A set of numbers arranged in a definite order according to some definite rule is called a sequenc..
Introduction
The sets of numbers which every student must remember are: The set of natural numbers N = {1, 2, 3, 4, 5, } The set of whole numbers W = {0, 1, 2, 3, 4, 5,} The set of integers Z = I = {, -3, -2, -1, 0, 1, 2, 3,} The set of rational numbers Q The ..
Sequences and Series
Sequence : A set of numbers arranged in a definite order according to some definite rule is called a sequence.A sequence is a function whose domain is the set N of natural numbers. Series : Indicated sum of the terms in a sequence is called a series. The result o..
Summary
Let X be a set of numbers and f : N n --> X be a function, then the ordered set {f(1), f(2),...., f(n)} is called a finite sequence in X...
Examples :
The following are examples of a finite set. Set of stars in the universe. {x : x N x < 10 10 } {x : x I, x > 0, x is a factor of 156250..
Definition:
Union of two sets A and B is the set of all elements which are in A, or in B, or both in A and B. In Set builder form,..
Idempotent laws
If A is any set,the..
Distributive laws
If A, B, C are three sets, then..
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