Let X, Y and Z be sets. A, B are subsets of Y. f:X → Y is a function. Prove the given statement if it is true or find a counterexample if it is false. (a). X U (Y – Z) = (X U Y) – (X – Z). (b). f-1(An P) = f"(A) n f-1(B).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let X, Y and Z be sets. A, B are subsets of Y. f:X → Y is a function. Prove the given statement if it is true or find a
counterexample if it is false.
(a). XU (Y – Z) = (X U Y) – (X – Z).
(b). f-1(A n P} = f^(A) n f-1(B).
Transcribed Image Text:Let X, Y and Z be sets. A, B are subsets of Y. f:X → Y is a function. Prove the given statement if it is true or find a counterexample if it is false. (a). XU (Y – Z) = (X U Y) – (X – Z). (b). f-1(A n P} = f^(A) n f-1(B).
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