Clavis TMUA Set C Paper 2 · Question 12

Consider the following statement:

For every real number $x$ there is a real number $y$ such that $xy>1$ .

Which one of the following is the negation of this statement?

AFor every real number

x

there is a real number

y

such that

xy\leq1

BFor every real number

x

and every real number

y

xy\leq1

CThere is a real number

x

such that there is a real number

y

with

xy\leq1

DThere is a real number

x

such that for every real number

y

xy>1

EThere is a real number

y

such that for every real number

x

xy\leq1

FFor every real number

y

there is a real number

x

such that

xy\leq1

GThere is a real number

x

such that for every real number

y

xy\leq1

HThere are real numbers

x

and

y

such that

xy\leq1

examday