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Difference of Two Sets

For two sets ...

Question

For two sets A and B, A x B = B x A, if _______.

n(A) < n(B)

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n(A) > n(B)

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A = B

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n(A) = n(B)

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Solution

The correct option is C A = B

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Similar questions

A & B,

A \cup B = {x : x \in A or x \in B}

A \cap B = {x : x \in A and x \in B} .

A

B

A \cap X = B \cap X = ϕ

A \cup X = B \cup X

X

A = B

A

B

A \cap X = B \cap X = ϕ

A \cup X = B \cup X

X,

A = B

Let A and B be sets. If $A \cap X = B \cap X = Φ$ and $A \cup X = B \cup X$ for some set X. Show that $A = B .$

Let A and B be sets. If A ∩ X = B ∩ X = Φ and A ∪ X = B ∪ X for some set X, show that A = B.

(Hints A = A ∩ (A ∪ X), B = B ∩ (B ∪ X) and use distributive law)

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