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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 + 1 = 6, a ∈ Y
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Solution
Given: Y = {1, 2, 3,..., 10} where a represents any element of Y
To find: sets containing all numbers represented by a + 1 = 6, a ∈ Y
Y = {1, 2, 3, ..., 10}
a + 1 = 6
⇒ a = 5
⇒ 5 satisfies given condition
Therefore,
{a: a + 1 = 6, a ∈ Y }
= {5}
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