Let U = {x ​​∈ N: x  < 10}, A = {x∈N:5<x2 <50}and B={x​∈N: x is a prime number <10} Draw a Venn Diagram to show the relationship between the given sets .Hence list the elements of following sets 
i]A' ii]B' iii]A-B iv]A​∩B' 

Dear Student,
Please find below the solution to the asked query:

U=xN: x10U=1,2,3,4,5,6,7,8,9,10A:xB: 5<x2<505<x2<505<x<50Now 5>2 As 4=2 and 50>7 As 49=7A=3,4,5,6,7B=xN: x is a prime numberB=2,3,5,7

A'=U-A=1,2,8,9,10A-B=Elements of A which are not in B=4,6B'= U-B=1,4,6,8,9,10AB'=4,6

Hope this information will clear your doubts about this topic.

If you have any doubts just ask here on the ask and answer forum and our experts will try to help you out as soon as possible.
Regards

  • 0
What are you looking for?