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Which of the following are empty sets? Justify. A = { x ∶ x ∈ N and 3 < x < 4}

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Which of the following are empty sets? Justify.

A = { x ∶ x ∈ N and 3 < x < 4}

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A = { x ∶ x ∈ N and 3 < x < 4 } is an empty set, because, there is no natural number which is less than 4 and greater than 3, simultaneously.

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