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If y ={1,2,3,"……",10} and a represents ...

If ` y ={1,2,3,"……",10}` and a represents any element of Y, write the following sets, containing all the elements satisfying the given conditions,
(i) `a in Y` but `a^(2) !in Y`
(ii) `a +1 = 6, a in Y`
(iii) a is less than 6 and `a in Y`

Text Solution

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Given ` Y = {1,2,3,"………"10}`
(i) {`a:a in Y` and `a^(2) !in Y`} `= {4,5,6,7,8,9,10}`
(ii) `{a:a + =6, a in Y} = {5}`
(iii) is less than 6 and `a in Y`} = ` {1,2,3,4,5}`
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