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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 `x lt = 0`

B

There is no rational number `x in S` such that `x lt= 0`

C

Every rational number `x in S` satisfies `x lt= 0`

D

`x in S` and `x lt= 0 to x` is not rational

Text Solution

Verified by Experts

The correct Answer is:
C
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