State the reasons for the following :
(i) {1,2,3.....10} `ne {x : x ne N and 1 lt x lt 10}`
(ii) {2,4,6,8,10} `ne {x: x =2n+1 and x ne N}`
(iii) {5,15,30,45} `ne` {x : x is a multiple of 15}
(iv) {2,3,5,7,9} `ne` {x : x is a prime number}

Answer

(i) `{1,2,3...10} ne {2,3,4,....9}`
(ii) x=2x+1 means x is odd
(iii) x is multiple of 15. So 5 does not exist
(ix) x is prime number but 9 is not a prime number