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Are the following pair of sets equal ? G...

Are the following pair of sets equal ? Give reasons
(i) `A = {2,3}`
`B = {x : x " is solution of "x^(2)+5x = 6 = 0}`
(ii) A = {x : x is a letter in the word FOLLOW}
B = {y : y is a letter in the word WOLF}.

Text Solution

Verified by Experts

(i) `A = {2,3}`
and `B = {x : x "is solution of "x^(2)+5x+6=0}`
`becausex^(2)+5x+6=0`
`rArr(x+2)(x+3)=0`
`rArrx=-2,-3`
`because A={2,3} and B={-2,-3}`
Therefore, `A ne B`
(ii) A = {x : x is a letter in the word 'FOLLOW'}
`={F,O,L,W}`
and B = {y : y is a letter in the word 'WOLF'}
Therefore, A = B.
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