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If S be a non - empty subset of R. Cons...

If 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 `.Write the negation of the statement p.

A

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

B

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

C

There is no rational number `x in S` such that `xle0`.

D

Every rational number `x in S` satisfies `xle0`

Text Solution

Verified by Experts

The correct Answer is:
D
P: There is a rational bumber `x in S` such that `x gt0`
`~p `: Every rational number `x in S` satisfies `xle0`
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