State The Following Statement Is Empty Set Or Not? Why? C = {x | 5x - 2 ...

English0Maharashtra State BoardSSC (English Medium) 9th StandardQuestion PapersQuestion PapersTextbook Solutions11941MCQ Online Mock TestsImportant SolutionsConcept Notes & Videos345Time TablesSyllabusState the following statement is empty set or not? why? C = {x | 5x - 2 = 0, x ∈ N} - Algebra

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Question

State whether the following statement is an empty set or not? why?

C = {x | 5x - 2 = 0, x ∈ N}

Sum

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SolutionShow Solution

⇒ 5x - 2 = 0

⇒ 5x = 2

⇒ x = `2/5`

We know that natural number, N = {1, 2, ...}

∴ C = {x | 5x - 2 = 0, x ∈ N} = {}

∴ C is an empty set.

shaalaa.com Report Error Is there an error in this question or solution?Q (3) (iii)Q (3) (ii)Q (4) (i)Chapter 1: Sets - Practice Set 1.2 [Page 6]

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