A = {x/x € Z,x< 30 }B= x/x is a prime number; 1 <x< 25 } verify whether A and B are disjoint or intersecting sets.
Answers
Step-by-step explanation:
Answer
(i) A={1,2,3,4}
B={x:x is a natural number and 4≤x≤6}={4,5,6}
Now, A∩B={1,2,3,4}∩{4,5,6}={4}
Therefore, this pair of sets are not disjoint.
(ii) A={a,e,i,o,u}
B={c,d,e,f}
A∩B={e}
Therefore, this pair of sets are not disjoint.
(iii) A={x:x is an even integer}
B={x:xis an odd integer}
A∩B=ϕ
Therefore, this pair of sets is disjoint.
Answer:
Which of the following pairs of sets are disjoint
(i) {1,2,3,4} and {x:x is a natural number and 4≤x≤6}
(ii) { a,e,i,o,u } and { c,d,e,f }
(iii) {x:x is an even integer } and {x:x is an odd integer}
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Video Explanation
Solution To Question ID 419057
Answer
(i) A={1,2,3,4}
B={x:x is a natural number and 4≤x≤6}={4,5,6}
Now, A∩B={1,2,3,4}∩{4,5,6}={4}
Therefore, this pair of sets are not disjoint.
(ii) A={a,e,i,o,u}
B={c,d,e,f}
A∩B={e}
Therefore, this pair of sets are not disjoint.
(iii) A={x:x is an even integer}
B={x:xis an odd integer}
A∩B=ϕ
Therefore, this pair of sets is disjoint.