Question

Let U={0,1,2,3,4,5,6,7,8,9},A={0,1,2,3},B={0,2,4},C={0,3,6,9} Find: a) A∪B; b) A∩B; c) Aᶜ d) (A∩B)ᶜ e) (B∪C)−A

Answer 1

`A\cup B=\{0,1,2,3,4\}\\A\cap B=\{0,2\}\\A^c=\{4,5,6,7,8,9\}\\(A\cap B)^c=\{1,3,4,5,6,7,8,9\}\\B\cup C=\{0,2,3,4,6,9\}\\(B\cup C)\setminus A=\{4,6,9\}`