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

1.

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

Answer»

A = Even prime numbers

Since 2 is the only even prime number,

∴ A = {2} …(i)

B= {x | 7x – 1 = 13}

Here, 7x – 1 = 13

∴ 7x = 14

∴ x = 2

∴ B = {2} …(ii)

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

∴ A and B are equal sets.

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