Sets, Relations and Functions - Arithmetic Aptitude Questions and Answers

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Let f : X → Y . Consider the statement, “For all subsets C and D of Y , f −1 (C∩Dc ) = f −1 (C) ∩ [f −1 (D)]c . This statement is

True and equivalent to:
For all subsets C and D of Y , f −1 (C − D) = f −1 (C) − f −1 (D).

False and equivalent to:
For all subsets C and D of Y , f −1 (C − D) = f −1 (C) − f −1 (D).

True and equivalent to:
For all subsets C and D of Y , f −1 (C − D) = f −1 (C) − [f −1 (D)]c

False and equivalent to:
For all subsets C and D of Y , f −1 (C − D) = f −1 (C) − [f −1 (D)]c .

Answer : Option A

Explanation :

True and equivalent to:
For all subsets C and D of Y , f −1 (C − D) = f −1 (C) − f −1 (D).

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