Question

cho 3 tập hợp a ={1,2,3,5, 6,7} B={-1,1,2,3,4,5,6,6,7,9} C={1,3,6,-2,7}

Xác định các tập hợp A ∩B, A\B, A\C,A ∩C,B ∩C,A U C,A U B

CMR: (A∩B)U(A\B)U(B\A)=AUB

CMR: (A UB)∩C=(A∩C)U(B∩C)

Answer 1

\(\left[{}\begin{matrix}\left[{}\begin{matrix}A\cap B=\left\{1;2;3;5;6;7;-1;4;9\right\}\\A\backslash B=\varnothing\end{matrix}\right.\\\left[{}\begin{matrix}A\backslash C=\left\{2;5\right\}\\A\cap C=\left\{1;2;3;5;6;7;-2\right\}\end{matrix}\right.\\\left[{}\begin{matrix}B\cap C=\left\{-2;-1;1;2;3;4;5;6;7;9\right\}\\A\cup C=\left\{1;3;6;7\right\}\end{matrix}\right.\\A\cup B=\left\{1;2;3;5;6;7\right\}\end{matrix}\right.\)

CMR: \(\left(A\cap B\right)\cup\left(A\ B\right)\cup\left(B\ A\right)=A\cup B\)

\(\)\(VT=VP=\left\{1;2;3;5;6;7;-1;4;9\right\}\)

CMR: \(\left(A\cup B\right)\cap C=\left(A\cap C\right)\cup\left(B\cap C\right)\)

\(VT=VP=\left\{1;3;6;2;7;5;-2\right\}\)