Problem 16. With all sets appropriately defined, only one of the following two statements is always true. Figure out which statement is true and prove it. Disprove the other statement. (a) f(X NY) = f(X)n f(Y) (b) f-1(X NY) = f"(X)nf-'(Y)

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Problem 16. With all sets appropriately defined, only one of the following two statements is
always true. Figure out which statement is true and prove it. Disprove the other statement.
(a) f(XNY)= f(X)n f(Y)
(b) f-1(X NY) = f"(X)nf-'(Y)
Transcribed Image Text:Problem 16. With all sets appropriately defined, only one of the following two statements is always true. Figure out which statement is true and prove it. Disprove the other statement. (a) f(XNY)= f(X)n f(Y) (b) f-1(X NY) = f"(X)nf-'(Y)
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