tmua 2020 Q20

tmua · Uk · paper2 1 marks Proof Proof of Equivalence or Logical Relationship Between Conditions

$x$ is a real number and f is a function. Given that exactly one of the following statements is true, which one is it?
A $x \geq 0$ only if $\mathrm { f } ( x ) < 0$
B $x < 0$ if $\mathrm { f } ( x ) \geq 0$
C $\quad x \geq 0$ only if $\mathrm { f } ( x ) \geq 0$
D $\mathrm { f } ( x ) < 0$ if $x < 0$
E $\quad \mathrm { f } ( x ) \geq 0$ only if $x \geq 0$ F $\quad \mathrm { f } ( x ) \geq 0$ if and only if $x < 0$

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$x$ is a real number and f is a function.\\
Given that exactly one of the following statements is true, which one is it?

A $x \geq 0$ only if $\mathrm { f } ( x ) < 0$\\
B $x < 0$ if $\mathrm { f } ( x ) \geq 0$\\
C $\quad x \geq 0$ only if $\mathrm { f } ( x ) \geq 0$\\
D $\mathrm { f } ( x ) < 0$ if $x < 0$\\
E $\quad \mathrm { f } ( x ) \geq 0$ only if $x \geq 0$\\
F $\quad \mathrm { f } ( x ) \geq 0$ if and only if $x < 0$

Paper Questions

Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20