Find the intersection of each pair of sets of question 1 above.

Explanation

(i) `X = {1,3,5} and Y = {1,2,3}`
`X cup Y` = set of common elements of sets X and Y `= {1,3}`
Therefore, `X cap Y = {1,3}`
(ii) `A ={a,e,i,o,u} and B= {a,b,c}`
`because A cap B = {x : x in A and x in B}`
= set of common elements of sets A and B
`= {a}`
Therefore, `A cap B = {a}`
(iii) A = {x : x is a natural number adn multiple of 3}
`= {3,6,9,...}`
B = {x : x is a natural number less than 6}
`= {1,2,3,4,5}`
then `A cap B` = set of common elements of set A and set `B = {3}`
Therefore, `A cap B = {3}`
(iv) A = {x : x is a natural number and `1 lt x lt 6`}
`= {2,3,4,5,6}`
B = {x : x is a natural number and `6 lt x lt 10`}
`= {7,8,9}`
then `A cap B=` set of common elements of set A and set B `= {phi}`
Therefore, `A cap B = phi`
`(v)A ={1,2,3},B = phi`
then `A cap B=` set of common elements of set A and set `B = {phi}`
Therefore, `A cap B = phi`.