Question

If A-B={a,b}, B-A={c,d) and AnB={e,f}, then the set B is equal to
(A) {a,b,c,d (B) {e, f,c,d (c) {a,b, e, f} (D) {c,d,a,e​

Answer 1

Answer:

option c

Step-by-step explanation:

A-B={a,b}

AnB={e,f}

A-B means that terms has A terms expect common terms of AandB.AnB means common terms

A-B=A-AnB

A=A-B+AnB

Answer 2

Correct question: If A-B={a,b}, B-A={c,d) and A∩B={e,f}, then the set B is equal to

(A) {a,b,c,d} (B) {e, f,c,d} (c) {a,b, e, f} (D) {c,d,a,e​}

Answer:

The set B={e, f, c, d} (Option B).

Given,

The relations between two sets A and B are A-B={a,b}, B-A={c,d) and A∩B={e,f}.

To Find,

The elements of the set B.

Solution,

The method of finding the elements of the set B is as follows -

It is given that B-A={c,d). So, {c,d} ∈ B.

Also, A∩B={e,f}. So, {e,f} ∈ B.

Also, A-B={a,b}. So {a,b} ∉ B.

So, options A, C, and D is incorrect.

So, option B is correct.

Hence, the set B={e, f, c, d} (Option B).

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