Question: 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

Can someone help me with this question?

Can someone help me with this question? Question 4. Sets and Venn

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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