Some Results of Subsets
Prove that Null Set is the subset of every set Every set A is a subset of universal set U since, by definition all elements of A belong to U. Also the null set f A. The null set f is a subset of every set, ..
Introduction
A set of numbers arranged in a definite order according to some definite rule is called a sequenc..
Venn Diagrams [Euler-Venn Diagrams]
A Venn diagram is a pictorial representation of sets by set of points in the plane. The universal set U is represented pictorially by interior of a rectangle and the other sets are represented by closed figures viz circles or ellipses or small rectangles or s..
A Venn diagram is a pictorial representation of sets by set of points in the plane. The universal set U is represented pictorially by interior of a rectangle and the other sets are represented by closed figures viz circles or ellipses or small rectangles or s..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..
Rational and Irrational Numbers Introduction
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 n..
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 n..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..
Question 3
Question: Write down the following statements using set notation. (i) x is an element of set A (ii) y is not an element of set (iii) A is a subset of B (iv) A is a proper subset of B (v) A contains B (vi) A is superset of B (vii) Neither A is a subset of B, nor B ..
Question: Write down the following statements using set notation. (i) x is an element of set A (ii) y is not an element of set (iii) A is a subset of B (iv) A is a proper subset of B (v) A contains B (vi) A is superset of B (vii) Neither A is a subset of B, nor B ..See what our Users say :
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