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Inclined Plane

Let A, B, and...

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Let A, B, and C be the sets such that A ∪ B = A ∪ C and A ∩ B = A ∩ C. Show that B = C.

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A, B

C

be the sets such that

A \cup B = A \cup C

A \cap B = A \cap C

B = C .

A, B,

C

be the sets such that

A \cup B = A \cup C

A \cap B = A \cap C

B = C

A, B

C

be the sets such that

A \cup B = A \cup C

A \cap B = A \cap C .

B = C

Q. Let A and B be sets. Show that f : A × B → B × A such that ( a , b ) = ( b , a ) is bijective function.

A

B

be sets. Show that

f : A \times B \to B \times A

f (a, b) = (b, a)

is bijective function.

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