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State the following statement is empty set or not? why? C = {x | 5x - 2 = 0, x ∈ N} - Algebra

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प्रश्न

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

C = {x | 5x - 2 = 0, x ∈ N}

बेरीज

उत्तर

⇒ 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.

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Types of Sets
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Sets - Practice Set 1.2 [पृष्ठ ६]

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बालभारती Algebra (Mathematics 1) [English] 9 Standard Maharashtra State Board
पाठ 1 Sets
Practice Set 1.2 | Q (3) (iii) | पृष्ठ ६
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