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MrRissso [65]
2 years ago
12

If A = { a, b, c, d, e, f ) B-{ b, c, d, f, g) an C = {a,e,i,o,u), show that. A U (BnC) = (AUB) n (AUC)​

Mathematics
1 answer:
Setler79 [48]2 years ago
4 0

B\cap C=\emptyset\\A\cup(B\cap C)=\{a,b,c,d,e,f\}\\A\cup B=\{a,b,c,d,e,f,g\}\\A\cup C=\{a,b,c,d,e,f,i,o,u\}\\(A \cup B)\cap (A \cup C)=\{a,b,c,d,e,f\}

As you can see A\cup(B\cap C)=(A \cup B)\cap (A \cup C)

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