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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. a + 1 = 6, a ∈ Y - Mathematics

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Sum

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}

Concept: Subsets
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APPEARS IN

NCERT Mathematics Exemplar Class 11
Chapter 1 Sets
Exercise | Q 9.(ii) | Page 13

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