Let A and B be two non empty subsets of a set X If A-B - B-A -A- B- then which one of the following is correct-

The correct option is C A⊂ ( X B ) Let A and B are two #160;non empty set and X is a superset.Niw, (A B)∪(B A) = A∪ B So, A⊂ (X B) ...

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Standard XII

Mathematics

Properties of Set Operation

Let A and B b...

Question

Let A and B be two non empty subsets of a set X If $(A - B) \cup (B - A) = A \cup B$ , then which one of the following is correct?

A \subset B

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A \subset (X - B)

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A = B

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B \subset A

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Solution

The correct option is C $A \subset (X - B)$
Let A and B are two non-empty set and X is a superset.
Niw, $(A - B) \cup (B - A) = A \cup B$
So, $A \subset (X - B)$

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Let A and B be two non empty subsets of a set X If (A−B)∪(B−A)=A∪B, then which one of the following is correct?

The correct option is C A⊂(X−B)Let A and B are two non-empty set and X is a superset.Niw, (A−B)∪(B−A)=A∪BSo, A⊂(X−B)

Let A and B be two non empty subsets of a set X If $(A - B) \cup (B - A) = A \cup B$ , then which one of the following is correct?

The correct option is C $A \subset (X - B)$
Let A and B are two non-empty set and X is a superset.
Niw, $(A - B) \cup (B - A) = A \cup B$
So, $A \subset (X - B)$