tmua.fyi Paper 2 Challenge 2 · Question 17

Consider the statement for all real $x$ , if $x>1$ then $x^2>x$ . Which of the following is correct?

AThe statement and its converse are both true.

BThe statement is false, as

x=\frac12

shows.

CThe converse is true and the contrapositive is false.

DThe statement and its contrapositive are true, but the converse is false, as

x=-1

shows.

EThe statement, its converse and its contrapositive are all false.

FThe converse and the contrapositive are both true.

GThe statement is true and its contrapositive is false.

HThe statement is true, and its converse is false, as

x=2

shows.

examday