Let S be a non–empty subset of R. P : There is a rational number x ∈ S such that x > 0. Which of the following statement is the negation of the statement P?

Every rational number x ∈ Ssatisfies x ≤ 0

Every rational number x ∈ Ssatisfies x ≤ 0

There is a rational number x ∈ S such that x ≤ 0

There is no rational number x ∈ S such that x ≤ 0

Every rational number x ∈ Ssatisfies x ≤ 0

x ∈ S and x ≤ 0 ⇒ X is not rational

Book Online Demo

Check Your IQ

Try Test

Courses

Let S be a non–empty subset of R. P : There is a rational number x $\in$ S such that x > 0. Which of the following statement is the negation of the statement P?

see full answer

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

There is a rational number x $\in$ S such that $x \leq 0$

There is no rational number x $\in$ S such that $x \leq 0$

Every rational number x $\in$ Ssatisfies $x \leq 0$

x $\in$ S and $x \leq 0 \Rightarrow X$ is not rational

answer is C.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

p: at least one rational number x $\in$ S such that x>0

~p: There is no rational number x $\in$ S such that x>0

ie. All rational numbers x $\in$ S satisfy $x \leq 0$

Watch 3-min video & get full concept clarity