1.

Let S be a non-empty subset of R. consider the following statement : P: There is a rational number xinS such that xgt0. which of the following statements is the negation of the statement P?

Answer»

`x in S` and `x LE 0 RARR x` is not rational
There is rational number `x in S` such that `XLE0`.
There is no rational number `x in S` such that `xle0`.
Every rational number `x in S` SATISFIES `xle0`

Solution :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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