If universal set U=`{0,1,2,3,4,5,6,7}, A={2,3,7}, B={4,6} and C={0,2,4,6}`. Find the following
(i) `A cap phi`
(ii) `B' cap C`
(iii) `A' cap C`
(iv) `A cap A'`

Explanation

(i) `A' cap phi={2,3,7,} cap phi`
`" "=phi`
(ii) `B' cap C'={0,1,2,3,5,7} cap {1,3,5,7}`
`" "={1,3,5,7}`
(iii) `A' cup C={0,1,4,5,6} cup {0,,2,4,6}`
={0,1,2,4,5,6}
(iv) `A cap A'={2,3,7} cap {0,1,4,5,6}`
`=phi`