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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

Every rational number `x ne S ` such that `x le 0`

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
We know that the negation of " there exists" is " for every " So, negaion of statement P is statement given in option (a).
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