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Question
State whether the following statement is an empty set or not? why?
C = {x | 5x - 2 = 0, x ∈ N}
Solution
⇒ 5x - 2 = 0
⇒ 5x = 2
⇒ x = `2/5`
We know that natural number, N = {1, 2, ...}
∴ C = {x | 5x - 2 = 0, x ∈ N} = {}
∴ C is an empty set.
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