Question

) जर A = { 1, 2, 3, 4, 5, 6 }, B = { 4, 6, 8}, C = { 1, 4}, D = { 2, 4, 6} तर पुढीिपैकी कोिते ववधाि असत्य आिे (A) A  A (B) B  A (C) D  A (D) C  A

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

If A = { 1, 2, 3, 4, 5, 6 } , B = { 4, 6, 8} , C = { 1, 4} , D = { 2, 4, 6 } then Which of the following statements is untrue

(A) A ⊆ A

(B) B ⊆ A

(C) D ⊆ A

(D) C ⊆ A

CONCEPT TO BE IMPLEMENTED

SET :

A set is a well defined collection of distinct objects of our perception or of our thought to be conceived as a whole

Representation of Set :

A set can be represented in following ways

(i) Statement form method

(ii) Roster or tabular form method

(iii) Rule or set builder form method

SUBSET :

A set S is said to be a subset of T if every element of S is an element of T . It is written as S ⊆ T

EVALUATION

Here the given sets are

A = { 1, 2, 3, 4, 5, 6 }

B = { 4, 6, 8}

C = { 1, 4}

D = { 2, 4, 6 }

CHECKING FOR OPTION : 1

Here every element of A is also an element of A

So A ⊆ A

CHECKING FOR OPTION : 2

Here 8 is an element of B but not an element of A

So B ⊄ A

CHECKING FOR OPTION : 3

Here every element of D is also an element of A

So D ⊆ A

CHECKING FOR OPTION : 4

Here every element of C is also an element of A

So C ⊆ A

FINAL ANSWER

Hence the correct option is (B) B ⊆ A

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