hey i know that this forumn sometimes frown upon people needing urgent help, but like I really need it I dont know how that helps my case but in all sincerity i need this help really quick so please help me out.

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I know you guys say to post up what you attempted and etc. before going around asking for help but i really have alot of problems to solve and my exam is going to quite sooon so if you could help me out these are the ones i really couldn't understand for the life of me

Alright I got the first one using De Morgan Law's please if you can verify that it is correct

B - C = BnC^complement <= A^complement

AnB = (AnB)^complement => C^complment

Bn(A^complement u B^complement) => BnC^complement

A^complement <= BnCcomplement

alright i got the solution to the next one and the one after basically

$\displaystyle

\begin{array}{l}

{\rm{Let y 2 f(C \backslash D) }}{\rm{. Then y = f(x) for some x 2 C \backslash D }}{\rm{. This implies that x 2 C and}} \\

{\rm{x 2 D }}{\rm{. We therefore conclude that y = f(x) is an element of both f(C) and f(D) , and}} \\

{\rm{hence in f(C) \backslash f(D)}}{\rm{. This proves that f(C \backslash D) f(C) \backslash f(D) }}{\rm{.}} \\

\end{array}

$

DONT DO J AND K I SOLVED THEM