If U = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11},A = { | vedclass

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(A) Step $1$: Find $A \cap U$.Since $A = \{2, 4, 7\}$ and $U = \{2, 3, 4, 5, 6, 7, 8, 9, 10, 11\}$,the intersection $A \cap U$ is the set of elements

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$\{7\}$

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(A) Step $1$: Find $A \cap U$.Since $A = \{2, 4, 7\}$ and $U = \{2, 3, 4, 5, 6, 7, 8, 9, 10, 11\}$,the intersection $A \cap U$ is the set of elements common to both,which is $\{2, 4, 7\}$.Step $2$: Find $B \cup C$.Since $B = \{3, 5, 7, 9, 11\}$ and $C = \{7, 8, 9, 10, 11\}$,the union $B \cup C$ is the set of all elements present in either $B$ or $C$,which is $\{3, 5, 7, 8, 9, 10, 11\}$.Step $3$: Compute $(A \cap U) \cap (B \cup C)$.We need to find the intersection of $\{2, 4, 7\}$ and $\{3, 5, 7, 8, 9, 10, 11\}$.The only common element is $7$.Therefore,$(A \cap U) \cap (B \cup C) = \{7\}$.

If $U = \{2, 3, 4, 5, 6, 7, 8, 9, 10, 11\}$,$A = \{2, 4, 7\}$,$B = \{3, 5, 7, 9, 11\}$,and $C = \{7, 8, 9, 10, 11\}$,compute: $(A \cap U) \cap (B \cup C)$.

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