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Examine If the Following Set is the Empty Set: {X + 3 = 2 and X ∈ N} - Mathematics

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Question

Examine if the following set is the empty set:

{x + 3 = 2 and x ∈ N}

Sum
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Solution

{x + 3 = 2 and x ∈ N}

x ≠ 3 = 2 ⇒ x = 2 - 3 = -1

which is not a natural number.

∴ It is an empty set.

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Concept for Revision Idea of Sets
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Chapter 13: Set Concepts (Some Simple Divisions by Vedic Method) - Exercise 13 (B)

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Selina Concise Mathematics [English] Class 7 ICSE
Chapter 13 Set Concepts (Some Simple Divisions by Vedic Method)
Exercise 13 (B) | Q 5.3
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