Daniel J Smith Custom TMUA alpha · Question 20

Let $f(x)$ , $g(x)$ , $h(x)$ and $k(x)$ be real functions and consider the statement

$(*)$ If $0<x<1$ and $f(x)>g(x)$ , then $h(x)=0$ or $k(x)\geq5$ .

Which of the following statements is the contrapositive of $(*)$ ?

AIf

h(x)\neq0

k(x)<5

then

x\leq0

x\geq1

f(x)\leq g(x)

BIf

h(x)\neq0

and

k(x)<5

then

x\leq0

x\geq1

and

f(x)\leq g(x)

CIf

h(x)\neq0

and

k(x)<5

then

x\leq0

x\geq1

f(x)\leq g(x)

DIf

x\leq0

x\geq1

f(x)\leq g(x)

then

h(x)\neq0

and

k(x)<5

EIf

h(x)=0

k(x)\geq5

then

0<x<1

and

f(x)>g(x)

examday