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Let-A-2-4-6-7-8-9-B-1-3-5-6-10-and-C-x-3x-6-0-or-2x-6-0-Find-a-A-B-b-is-A-B-C-A-B-C-




Question Number 75257 by must1987 last updated on 09/Dec/19
Let A={2,4,6,7,8,9}  B={1,3,5,6,10} and  C={x:3x+6=0 or 2x+6=0}.Find  a. A∪B.  b. is(A∪B)∪C=A∪(B∪C)?
$${Let}\:{A}=\left\{\mathrm{2},\mathrm{4},\mathrm{6},\mathrm{7},\mathrm{8},\mathrm{9}\right\} \\ $$$${B}=\left\{\mathrm{1},\mathrm{3},\mathrm{5},\mathrm{6},\mathrm{10}\right\}\:{and} \\ $$$${C}=\left\{{x}:\mathrm{3}{x}+\mathrm{6}=\mathrm{0}\:{or}\:\mathrm{2}{x}+\mathrm{6}=\mathrm{0}\right\}.{Find} \\ $$$${a}.\:{A}\cup{B}. \\ $$$${b}.\:{is}\left({A}\cup{B}\right)\cup{C}={A}\cup\left({B}\cup{C}\right)? \\ $$
Answered by 21042004 last updated on 09/Dec/19
a. A∪B={1, 2, 3, 4, 5, 6, 7, 8, 9, 10}  b. Yes
$${a}.\:{A}\cup{B}=\left\{\mathrm{1},\:\mathrm{2},\:\mathrm{3},\:\mathrm{4},\:\mathrm{5},\:\mathrm{6},\:\mathrm{7},\:\mathrm{8},\:\mathrm{9},\:\mathrm{10}\right\} \\ $$$${b}.\:{Yes} \\ $$

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