tmua.fyi Paper 2 Challenge 2 · Question 4

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tmua.fyi Paper 2 Challenge 2 · Q4

Paper 2Logic & proof

Consider these three statements about real numbers.

$P$ : for every $x$ there exists $y$ such that $y^2=x$ .

$Q$ : there exists $x$ such that $xy=0$ for every $y$ .

$R$ : for all $x$ and $y$ , if $xy=0$ then $x=0$ or $y=0$ .

Which are true?

Anone of them

P

only

Q

only

R

only

P

and

Q

P

and

R

Q

and

R

P,Q

and

R

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