Qiuyun TMUA Simulation Test Paper 2 · Question 9

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Qiuyun TMUA Simulation Test Paper 2 · Q9

Paper 2Logic & proof

The set of values of $x$ that satisfies $ax^2+bx+c>0$ is $x<-5$ or $x>6$ .

Which of the following statements must be true?

I. $a>0$
II. $a+b+c>0$
III. The set of values of $x$ that satisfies $cx^2-bx+a>0$ is $x<-\dfrac16$ or $x>\dfrac15$ .

AOnly I is right.

BOnly II is right.

COnly III is right.

DI and II are right.

EI and III are right.

FI and II and III are right.

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