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ICSE Class 8 Answered

If A ={1,2,3,4,5,6,7,8} B=2,4,6,8,10,12} and C=1,3,5,7,9,11,13} then show that A-(BUC)=(A-B) u A-C
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Asked by pelamathy8 | 06 Oct, 2021, 04:18: PM
answered-by-expert Expert Answer
The question must be
If A = {1,2,3,4,5,6,7,8} B = {2,4,6,8,10,12} and C = {1,3,5,7,9,11,13} then show that straight A minus open parentheses straight B union straight C close parentheses equals open parentheses straight A minus straight B close parentheses intersection open parentheses straight A minus straight C close parentheses
Solution:
straight B union straight C equals open curly brackets 1 comma 2 comma 3 comma 4 comma 5 comma 6 comma 7 comma 8 comma 9 comma 10 comma 11 comma 12 comma 13 close curly brackets
straight A minus open parentheses straight B union straight C close parentheses equals empty set
straight A minus straight B equals open curly brackets 1 comma 3 comma 5 comma 7 close curly brackets space and space straight A minus straight C equals open curly brackets 2 comma 4 comma 6 comma 8 close curly brackets
open parentheses straight A minus straight B close parentheses intersection open parentheses straight A minus straight C close parentheses equals empty set
Answered by Renu Varma | 23 Oct, 2021, 06:38: PM

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