1) Decide whether set C and D are equal sets. Give reasons for your answer.
C = Set of even prime number.
D = y / 7y – 1 = 13
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Answer:
Calculation of Sets
Step-by-step explanation:
Given:
C = Set of even prime number
D = y / 7y – 1 = 13
To find:
Whether set C and D are equal sets and reasons for that.
Solution:
We know that two sets A and B are said to be equal, if every element of set A is in set B and every element of set B is in set A. It is symbolically written as A = B.
C = Even Prime Numbers = {2}
D = {y / 7x – 1 = 13}
⇒ 7x – 1 = 13
⇒ 7x = 13 + 1 = 14
⇒ y = 14/7
∴ y = 2
∴ A = B
Ans = Set A and set B are equal sets
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