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

Question

TuteeHUB · Accepted Answer

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

TuteeHUB · Answer

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

TuteeHUB · Answer

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

TuteeHUB · Answer

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

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

Discussion