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Question
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.
a ∈ Y but a2 ∉ Y
Solution
Given: Y = {1, 2, 3, ..., 10} where a represents any element of Y
To find: sets containing all numbers represented by a ∈ Y but a2 ∉ Y
Y = {1, 2, 3, ..., 10}
12 = 1, 22 = 4, 32 = 9
1, 4, 9 ∈ Y ⇒ 1, 2, 3 does not satisfy given condition
Therefore,
{a: a ∈ Y and a2∉ Y}
= {4, 5, 6, 7, 8, 9, 10}
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