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Parin Sir > online

Jun

Examples

(1) Write down the power set of A = { 10, 20, 30 }.

Soln. P (A) = { $\emptyset$ , {10}, {20}, {30}, {10, 20}, {10, 30}, {20, 30}, {10, 20, 30}…

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Jun

Onto & Into Functions

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Jun

One-One & Many-One Functions

☼ One-One & Many-One Functions : Let f : A $\large \rightarrow$ B. We say that f is one-one, if disti…

Posted in: One-One & Many-One Functions,

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Jun

Functions

☼ Functions : Let A and B be two non-empty sets. Then a rule f which associates to each x $\in$ A, a unique element f (x)

Posted in: Functions,

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Jun

Cartesian Product of Two Sets

☼ Cartesian Product of Two Sets : The Cartesian product A $\times$ B of two non-empty sets A and B is defined as : A

Posted in: Cartesian Product of Two Sets,

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Jun

Ordered Pair

☼ Ordered Pair : A pair of two elements a and b listed in a specific order, is called an ordered pair ( a, b ).

Note (i) ( 2, 3 ) $\ne$

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Jun

Venn Diagrams

☼ Venn Diagrams : We represent sets by closed bounded figures, known as Venn diagrams. The universal set is denoted by a rectangular region and each subset of it is shown by a closed bounded figure within this rectangle.

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01

Jun

Some More Important Results
☼ Some More Important Results :

(i) A $\cup$ B = $\emptyset$

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01

Jun

Laws of operations
$\large \mapsto$ Commutative Laws :

(i) A $\cup$ B…

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31

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.

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