Question

if A={a,b,c,e,f,10,30,50,70,90,110},then the correct one of the following is____.​

Answer 1

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Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

If A = { a, b, c, e, f, 10,30, 50, 70, 90,110 }, then the correct one of the following is

(A) {a,c,e,f} ∈ A

(B) {a,b,e,f} ∈ A

(C) {a,b,c,e,f, 10, 30, 50, 70, 90, 110 } ⊆ A

(D) {10, 30, 50, 70, 90, 110 } ∈ 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

ELEMENT OF A SET

For a given set S if s is an element of S then it is denoted by the symbol s ∈ S

SUBSET

A set S is said to be subset of T if every element of S is an element of T. It is denoted by S ⊆ T

EVALUATION

Here the given set is

A = { a, b, c, e, f, 10,30, 50, 70, 90,110 }

CHECKING FOR OPTION (A)

{a,c,e,f} and A both are sets .

More precisely {a,c,e,f} is a subset of A

So the true symbol between them will be

{a,c,e,f} ⊆ A

So this option is not correct

CHECKING FOR OPTION (B)

{a,b,e,f} and A both are sets .

More precisely {a,b,e,f} is a subset of A

So the true symbol between them will be

{a,b,e,f} ⊆ A

So this option is not correct

CHECKING FOR OPTION (C)

{a,b,c,e,f, 10, 30, 50, 70, 90, 110 } and A both are sets.

More precisely every element of {a,b,c,e,f, 10, 30, 50, 70, 90, 110 } is an element of A

So {a,b,c,e,f, 10, 30, 50, 70, 90, 110 } is a subset of A

So {a,b,c,e,f, 10, 30, 50, 70, 90, 110 } ⊆ A is true

So this option is correct

CHECKING FOR OPTION (D)

{10, 30, 50, 70, 90, 110 } and A both are sets .

More precisely {10, 30, 50, 70, 90, 110 } is a subset of A

So the true symbol between them will be

{10, 30, 50, 70, 90, 110 } ⊆ A

So this option is not correct

FINAL ANSWER

Hence the correct option is

(C) {a,b,c,e,f, 10, 30, 50, 70, 90, 110 } ⊆ A

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