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Let S be a non-empty subset of R. Consid...

Let S be a non-empty subset of R. Consider the following statement:
P: There is a rational number `x in S` such that `x gt 0`. Which of the following statements is the negation of the statement P?

A

`x in S and x le 0 rArr x` is not rational

B

There is a rational number `x in S` such that `x le 0`

C

There is no rational number `x in S` Such that `x le 0`

D

Every rational number `x in S` satisfies `x le 0`

Text Solution

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The correct Answer is:
D
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