Decide Whether Set A And B Are Equal Sets. Give Reason For Your ...

English0Maharashtra State BoardSSC (English Medium) 9th StandardQuestion PapersQuestion PapersTextbook Solutions11941MCQ Online Mock TestsImportant SolutionsConcept Notes & Videos347Time TablesSyllabusDecide 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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Question

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

A = Even prime numbers

B = {x | 7x − 1 = 13}Sum

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SolutionShow Solution

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.

shaalaa.comClassification of Sets - Equal Sets Report Error Is there an error in this question or solution?Q (2)Q (1)Q (3) (i)Chapter 1: Sets - Practice Set 1.2 [Page 6]

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Balbharati Algebra (Mathematics 1) [English] 9 Standard Maharashtra State BoardChapter 1 SetsPractice Set 1.2 | Q (2) | Page 6

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