tmua.fyi Paper 2 Challenge 2 · Question 2

Consider the statement: if $a$ and $b$ are both rational then $a+b$ is rational. Which of the following is its contrapositive?

AIf

a+b

is rational then

a

and

b

are both rational.

BIf

a

and

b

are not both rational then

a+b

is irrational.

CIf

a+b

is irrational then at least one of

a

and

b

is irrational.

DIf

a+b

is irrational then neither

a

nor

b

is rational.

EIf

a

b

is irrational then

a+b

is irrational.

FIf

a

and

b

are both irrational then

a+b

is irrational.

GIf

a+b

is rational then at least one of

a

and

b

is rational.

HIf at least one of

a

and

b

is irrational then

a+b

is not rational.

examday