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Question-96848




Question Number 96848 by DELETED last updated on 05/Jun/20
Answered by 1549442205 last updated on 05/Jun/20
we have A∪B={0,1,2,3,4,6,7,8,9,10}  B∪C={0,1,2,3,4,5,6,7,8,9,10}  ⇒(A∪B)∩(B∪C)={0,1,2,3,4,6,7,8,9,10}
$$\mathrm{we}\:\mathrm{have}\:\mathrm{A}\cup\mathrm{B}=\left\{\mathrm{0},\mathrm{1},\mathrm{2},\mathrm{3},\mathrm{4},\mathrm{6},\mathrm{7},\mathrm{8},\mathrm{9},\mathrm{10}\right\} \\ $$$$\mathrm{B}\cup\mathrm{C}=\left\{\mathrm{0},\mathrm{1},\mathrm{2},\mathrm{3},\mathrm{4},\mathrm{5},\mathrm{6},\mathrm{7},\mathrm{8},\mathrm{9},\mathrm{10}\right\} \\ $$$$\Rightarrow\left(\mathrm{A}\cup\mathrm{B}\right)\cap\left(\mathrm{B}\cup\mathrm{C}\right)=\left\{\mathrm{0},\mathrm{1},\mathrm{2},\mathrm{3},\mathrm{4},\mathrm{6},\mathrm{7},\mathrm{8},\mathrm{9},\mathrm{10}\right\} \\ $$

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