Question

If A= {x : x is a natural number}, B = {x : x is an even natural number}C = {x : x is an odd natural number} and D = {x : x is a prime number }, find(i) `A nnB` (ii) `A nnC` (iii) `A nnD`(iv) `B nnC` (v) `B nnD` (vi) `C nnD`

Answer 1

Here, `A = {1,2,3,4,5,6,7...}`
`B = {2,4,6,8,10...}`
`C={1,3,5,7,9...}`
`D={2,3,5,7,11...}`
Now, `AnnB={2,4,6,8,10,...} = B`
`AnnC = {1,3,5,7,9...} = C`
`BnnC = {}->` As there is no common elements.
`AnnD = {2,3,5,7,11...} = D`
`BnnD = {2}`
`CnnD = {3,5,7,11...} = D-{2}`