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Question
Decide whether set A and B are equal sets. Give reason for your answer.
A = Even prime numbers
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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.
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