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Decide whether sets A and B are equal sets. Give reason for your answer. A = Even prime numbers B = {x | 7x − 1 = 13} - Algebra

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प्रश्न

Decide whether sets A and B are equal sets. Give reason for your answer.

A = Even prime numbers

B = {x | 7x − 1 = 13}
योग
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उत्तर

A = Even prime numbers

Since 2 is the only even prime number,

A = {2}     ...(i)

B = {x | 7x − 1 = 13}

7x − 1 = 13

7x = 13 + 1

7x = 14

x = `14/7`

x = 2

∴ B = {2}     ...(ii)

∴ The elements in set A and B is identical      … [From (i) and (ii)] 

A = B

Hence, A and B are equal sets.

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अध्याय 1: Sets - Practice Set 1.2 [पृष्ठ ६]

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बालभारती Mathematics 1 [English] Standard 9 Maharashtra State Board
अध्याय 1 Sets
Practice Set 1.2 | Q (2) | पृष्ठ ६

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