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Can someone help me with this question? Question 4. Sets and Venn Diagrams [16 MARKS] Part (a) [4 MARKS] Use Venn diagrams to verify the

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Question 4. Sets and Venn Diagrams [16 MARKS] Part (a) [4 MARKS] Use Venn diagrams to verify the following identities. 1. (AUB)\\ C = (A \\C)U (B \\ C) 2. AU(B \\ C) = (AUB) \\ (C\\ A) Part (b) [4 MARKS] Given the two Venn diagrams above, what can you conclude about the sets (AU B) \\ C and AU(B \\ C)? Is one of these sets is necessarily a subset of the other? Part (c) [4 MARKS] Give an example of sets A, B, and C for which (AUB) \\ C # AU(B \\ C). Part (d) [4 MARKS] Verify the identities in part (a), by writing out (using logical symbols) what it means for an object a to be an element of each set and then using logical equivalences

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