1.

Prove that f:X rarr Y is injective iff f^(-1) (f(A)) = "A for all" A sube X.

Answer»

SOLUTION :F:`X RARR Y. "is INJECTIVE".
Let x in A ` 1) (f(A))`
`:. A =f^(-1) (f(A)) "for all A" sube X.`


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