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  • 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 ∈ Y but a2∉ Y (ii) a + 1 = 6, a ∈ Y (iii) a is less than 6 and a ∈ Y

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\notin Y
(ii) a + 1 = 6, a\in Y
(iii) a is less than 6 and a\in Y

Answers (1)

Given that: Y = {1, 2, 3,…, 10}

    (i)    \{a \ | \ a\in Y \text{ but }a^2\notin Y\} = \{4,5,6,7,8,9,10\}

    (ii)    \{a \ | \ a + 1 = 6,\ a\in Y \} = \{5\}

    (iii)    \{a \ | \ a < 6\text{ and } a\in Y \} = \{1,2,3,4,5\}

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