In 41-49 let X and Y be sets, let A and B be any subsets of X, and let C and D be any subsets of Y. Determine which of the properties are true for every fubnction F from X to Y of the properties are ture for every function F from X to Y and which are false for at lest for at lest one functions F from X to Y. Justify your answer.
For all subsets C and D of Y, if , then
To check the given property whether it is true for all functions or it is false for at least one function
Let be a mapping from set and let be any two subsets of
The objective is to determine whether the statement is true or false.
Let be any element in the inverse image .
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