Which of the following parir of sets are equal? Give reasons.
(i) `A={-3,-2,-1,0,1,2,3,} and B={x:x in Z and x^(2) lt 10}`
(ii) `A={0} and B={x:x"is root of the equation "x^(2)-2x=0}`
(iii) M, the set of letters of the word SCHOOL and N. the set of letters of the word SCHOLAR.

Explanation

(i) A={-3,-2,-1,0,1,2,3} and `B={x:x in I and x^(2) lt 10}`
`={-3,-2,-1,2,3}`
`" "=A `
So, A and B are equals sets.
(ii) A={0} and B={x:x is the root of the equaltion `x^(2)-2x=0}`
={0,2}
Since `2 epsi B" but " 2 epsi A`
`therefore` A and B are not equal sets .
(iii) X={S,C,H,O,L} and Y={S,C,H,O,L,A,R}
`therefore A in Y, R in Y" but "A notinX, Rnotin X`
`therefore` X and Y are not equal sets.