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 :- `A nn B`

Answer

`XuuY={(x, y):x^(2)+y^(2)le1or0lexle1and-1leyle1}`
`XnnY={(x,y):x^(2)+y^(2)le1andxge0}`

Explanation

`X={(x,y):x^(2)+y^(2)le1}`
`Y={(x,y):0lexle1-1leyle1}`
`XuuY={(x,y):x^(2)+y^(2)le1or0lexle1and-1leyle1}`
`XnnY={(x,y):x^(2)+y^(2)le1andxge0}`