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Let S be non-empty subset of R. consider...

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

A

There is a rational number x `in` S such that `xle0`

B

There jis no rational number x`in`S such that x`le`0

C

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

D

x`in`S and `xle-rArrx` is not rational

Text Solution

Verified by Experts

The correct Answer is:
C
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