JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

1 Easy

1 of 1

Understanding +4 | -1

Which of the following is the negation of the statement "for all

M\, > \,0

, there exists

x \in \,S

such that

x \ge M

View answer and explanation

Correct option: A

there exists

M\, > \,0

, such that

x < M

for all

x \in \,S

Option A (there exists

M > 0

, such that

x < M

for all

x \in S

) is correct because the negation of "for all" is "there exists", and the negation of

x \ge M

x < M

More Questions from MATHEMATICAL REASONING

Practice All Chapter MCQs →

p:A

q:A

\sqrt{3}

p

q

p \rightarrow q

{F_1}(A,\,B,\,C) = \left( {A \wedge \sim B} \right) \vee \left[ { \sim C \wedge \left( {A \vee B} \right)} \right] \vee \sim A

{F_2}(A,\,B) = \left( {A \vee B} \right) \vee (B \to \, \sim \,A)

p

n

q:

n

p \Leftrightarrow q