Please solve these questions

Asked by apratimkalita456 | 29th Apr, 2020, 08:37: PM

Expert Answer:

Q: U={1,2,3,4,...,10}, A={2,3,4,5} and B={1,2,3,4,5,6}
straight A union straight B equals open curly brackets 1 comma space 2 comma space 3 comma space 4 comma space 5 comma space 6 close curly brackets
open parentheses straight A union straight B close parentheses apostrophe equals open curly brackets 7 comma space 8 comma space 9 comma space 10 close curly brackets
straight A apostrophe equals open curly brackets 1 comma space 6 comma space 7 comma space 8 comma space 9 comma space 10 close curly brackets comma space straight B apostrophe equals open curly brackets 7 comma space 8 comma space 9 comma space 10 close curly brackets
straight A apostrophe intersection straight B apostrophe equals open curly brackets 7 comma space 8 comma space 9 comma space 10 close curly brackets
Hence comma space open parentheses straight A union straight B close parentheses apostrophe equals straight A apostrophe intersection straight B apostrophe.
 
Q: A={1, 2, 3, 4, 5}, B={1, 3, 5, 8}, C={2, 5, 7, 8}
straight B union straight C equals open curly brackets 1 comma space 2 comma space 3 comma space 5 comma space 7 comma space 8 close curly brackets
straight A minus open parentheses straight B union straight C close parentheses equals open curly brackets 4 close curly brackets
straight A minus straight B equals open curly brackets 2 comma space 4 close curly brackets comma space straight A minus straight C equals open curly brackets 1 comma space 3 comma space 4 close curly brackets
open parentheses straight A minus straight B close parentheses intersection open parentheses straight A minus straight C close parentheses equals open curly brackets 4 close curly brackets
Hence comma space 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

Answered by Renu Varma | 30th Apr, 2020, 03:01: PM