Go To Your Study Dashboard

Get Answers to all your Questions

header-bg

Which of the following is the negation of the statement $^{\prime \prime} For\: \: all \: \: M>0,\,there\,\,exists\,\,x \in S \,\,such \,\,that\, \,\,x \geq \mathrm{M}^{\prime \prime}$ ?
Option: 1 There exists $\mathrm{M}>0,$ such that $x<M$ for all $x \in S$
Option: 2 There exists $\mathrm{M}>0,$ such that $x<M$ for all $x \in S$
Option: 3 There exists $\mathrm{M}>0,$ such that $x<M$ for all $x \in S$
Option: 4 There exists $\mathrm{M}>0,$ such that $x<M$ for all $x \in S$
Option: 5 There exists $M>0,$ there exists $x \in S$ such that $x \geq M$

Option: 6 There exists $M>0,$ there exists $x \in S$ such that $x \geq M$

Option: 7 There exists $M>0,$ there exists $x \in S$ such that $x \geq M$

Option: 8 There exists $M>0,$ there exists $x \in S$ such that $x \geq M$

Option: 9 There exists $M>0,$ there exists $x \in S$ such that $x<M$
Option: 10 There exists $M>0,$ there exists $x \in S$ such that $x<M$
Option: 11 There exists $M>0,$ there exists $x \in S$ such that $x<M$
Option: 12 There exists $M>0,$ there exists $x \in S$ such that $x<M$
Option: 13 There exists $M>0$, such that $x \geq M$ for all $x \in S$
Option: 14 There exists $M>0$, such that $x \geq M$ for all $x \in S$
Option: 15 There exists $M>0$, such that $x \geq M$ for all $x \in S$
Option: 16 There exists $M>0$, such that $x \geq M$ for all $x \in S$

Answers (1)

best_answer

In negation, one type of quantifier converts to other type

So negation of given statement is

'There exist $M>0,$ such that $M>0$ for all $x \in S^{\prime}.$

The correct option is (1)

Posted by

Deependra Verma

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

5 g of Na₂SO₄ was dissolved in x g of H₂O. The change in freezing point was found to be 3.82⁰C. If Na₂SO₄ is 81.5% ionised, the value of x (K

A capacitor is made of two square plates each of side 'a' making a very small angle $\alpha$

A solution of m-chloroaniline, m-chlorophenol and m-chlorobenzoic acid in ethyl acetate was extracted initially with a saturated solution of NaHCO₃ to give fraction A. The leftover organic phase was extracted with d

Trending Articles/News

anam-khan

AESL expands Aakash Digital 2.0 to offer AI-powered coaching for NEET, JEE, Olympiads

anam-khan

Bihar Board extends BSEB Super 50 free coaching application last date to March 26

anam-khan

JEE Main City Intimation Slip 2025 Live: NTA session 2 exam city slips soon at jeemain.nta.nic.in

Latest Question