Question

3. If A = {b, c, d, e} and B= {d, e, f, g)two subsets of universal set, U = {b, c, d, e, f,g} show that.(AUB)'=(A'nB')

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Answer 1

`A\cup B=\{b,c,d,e,f,g\}\\(A\cup B)'=\emptyset\\\\A'=\{f,g\}\\B'=\{b,c\}\\A'\cap B'=\emptyset\\\\(A\cup B)'=A'\cap B'`