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May

☼ Symmetric Difference Of Sets : The symmetric difference of two sets A and B is defined by :

A $\triangle$ B = ( A

Posted in: Symmetric Difference Of Sets,

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May

Difference of Sets

☼ Difference of Sets : For any two sets A and B, we define :

A – B = { x : x $\in$ A and x $\notin$

Posted in: Difference of Sets,

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May

Intersection of Sets

☼ Intersection of Sets : The intersection of two sets A and B, denoted by A B is the set of all those elements which are common to both A and B.

Thus, A $\cap$

Posted in: Intersection of Sets,

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May

Comparable Sets

☼ Comparable Sets : Two sets A and B are said to be comparable if either A $\subseteq$ B or B $\subs... </p> <div class=$

Posted in: Comparable Sets,

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May

Proper Subset

☼ Proper Subset : If A $\subseteq$ B and A $\neq$ B, then A is ca…

Posted in: Proper Subset,

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May

Super Set

☼ Super Set : If A B, we say that B is a super set of A and we write, B A.

There are infinite supersets of any finite set but there are finite subsets of any finite set….

Posted in: Super Set,

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May

Subsets

☼ Subsets : Let A and B be two sets given in such a way that every element of A is in B, then we say that A is a subset of B and we write, A $\subseteq$

Posted in: Subsets,

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May

Equivalent Sets

☼ Equivalent Sets : Two sets A and B are said to be equivalent if n (A) = n (B).

■ Remark : Equivalent sets are not always equal but equal sets are always equivalent. Thus, { 10, 20…

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May

Equal Sets

☼ Equal Sets : Two sets A and B are said to be equal, if each and every element of A is in B and each and every element of B is in A.

In this case we can write, A = B….

Posted in: Equal Sets,

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May

Finite & Infinite Sets

☼ Finite & Infinite Sets : A set in which the process of counting of elements surely comes to an end or one can take an upper limit for that set, is called a finite set

A set which is not finite is known as an infinit…

Posted in: Finite & Infinite Sets,

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