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State whether each of the following sta...

State whether each of the following statement is true or false. Justify your answer.(i) `{ 2, 3,4, 5 }`and `{ 3, 6}`are disjoint sets,
(ii) `{ a , e , i , o, u }`and `{ a , b , c , d }`are disjoint sets,
(iii) `{ 2, 6, 10, 14 } and { 3, 7, 11, 15}` are disjoint sets.
`(iv) { 2, 6, 10 } and { 3, 7, 11}` are disjoint sets.

Text Solution

AI Generated Solution

To determine whether each of the given statements about the sets is true or false, we will check if the intersection of the sets is an empty set (null set). If the intersection is empty, the sets are disjoint; otherwise, they are not. ### Step-by-Step Solution: **(i)** Check if `{2, 3, 4, 5}` and `{3, 6}` are disjoint sets. - Find the intersection: \[ ...
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