Question

A=(a,b,c,d,e,f,g,h), B=(a,c,e), C=(a,e,I), D=g,h,I)?

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

If A= {a, b, c, d, e, f, g, h}, B= {a, c, e}, C= {a, e, i}, D= {g, h, i}

then which of the following statement is true

(A) C ⊆ A

(B) B ⊆ A

(C) D ⊆ A

(D) B ⊆ D

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 = {a, b, c, d, e, f, g, h}

B = {a, c, e}

C = {a, e, i}

D= {g, h, i}

CHECKING FOR OPTION : A

Here i is an element of C but not an element of but not an element of A

So C ⊄ A

So this option is not correct

CHECKING FOR OPTION : B

Every element of B is an element of A

So B ⊆ A

So this option is correct

CHECKING FOR OPTION : C

Here i is an element of D but not an element of but not an element of A

So D ⊄ A

So this option is not correct

CHECKING FOR OPTION : D

Here no element of B are in D

So B ⊄ D

So this option is not correct

FINAL ANSWER

Hence the correct option is (B) B ⊆ A

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