Set – Theory

Parin Sir > Quantitative Aptitude (Maths) > Set - Theory

Jun

$\large \mapsto$ Commutative Laws :

(i) A $\cup$ B…

Posted in: Laws of operations,

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May

Complement of a Set

☼ Complement of a Set : Let A be a subset of the universal set U, then the complement of A, denoted by Aٰ or A is defined by :

Aٰ = A = { x : x U, x A }.

Clearly, x A x A.

e.g.

Posted in: Complement of a Set,

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May

Universal Set

☼ Universal Set : In the discussion about sets, all sets are assumed to be the subsets of a definite set. This definite set is called the universal set. Universal set contains the sets under discussion as subsets. The symbol U i…

Posted in: Universal Set ,

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May

Symmetric Difference Of Sets

☼ 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

OPERATIONS ON SETS

☼ Union of Sets : The union of two sets A and B, denoted by A $\cup$ B is the set of all those elements which are either in A or in B or in both A…

Posted in: OPERATIONS ON SETS,

Tags: on, operations, Sets, Union, of,

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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