Quiz about Disequazioni e sistemi di disequazioni

Question 1

Scrivi il risultato dell'operazione con le parentesi quadre.

Accepted Answer

]0;4[

Answer

[1;4[

Answer

[0;4[

Answer

$$\left[\frac{1}{2};1\right]$$

Question 2

Risolvere la seguente disequazione:

$$x\left(1-x\right)\left(6+2x\right)\left(8-4x\right)<0$$

Accepted Answer

$$-3<x<0\ \vee\ 1<x<2$$

Answer

$$x<-3\ \vee\ 02$$

Answer

$$-2<x<0\ \vee\ 1<x<3$$

Answer

$$-3<x<-1\ \vee\ 0<x<2$$

Question 3

Risolvi la seguente disequazione:

$$3\left(4x-3\right)\ge4x^2$$

Accepted Answer

$$x=\frac{3}{2}$$

Answer

$$x e\frac{3}{2}$$

Answer

$$ ot i x\in R$$

Answer

$$\forall x\in R$$

Question 4

Risolvi la seguente disequazione:

$$\frac{x^2+3x-10}{x^2+1}<-1$$

Accepted Answer

$$-3<x<\frac{3}{2}$$

Answer

$$x<-3\ \vee\ x\ >\frac{3}{2}$$

Answer

$$-\frac{3}{2}

Question 5

Risolvi il sistema di disequazioni

Accepted Answer

$$x<-3\ \ \vee\ \frac{1}{3}

Answer

$$-3<x<\frac{1}{3}\ \ \vee\ \ x\ge1$$

Answer

$$x>\frac{1}{3}$$

Answer

$$-3<x<\le-1\ \vee\ x\ge\frac{1}{3}$$

Question 6

Risolvi la seguente disequazione:

$$\frac{x-2}{x-3}-\frac{5x+1}{x-2}\le\frac{3x^2-2x-14}{-x^2+5x-6}$$

Accepted Answer

$$x\le1\ \vee\ 2

Answer

$$1\le x<2\ \ \vee\ \ 3\

Answer

$$1\le x<7$$

Answer

$$x\le-7\ \vee\ 1

Question 7

Risolvi il sistema di disequazioni

Accepted Answer

$$x\ge2$$

Answer

$$-1<x\le\frac{3}{2}\ \ \vee\ \ x\ge2$$

Answer

$$x<1\ \vee\ \ 1

Answer

$$x<-1\ \ \vee\ 1

Question 8

Scrivi il risultato dell'operazione tra insiemi in forma di disuguaglianza.

Accepted Answer

$$-1<x<4$$

Answer

$$-2\le x<6$$

Answer

$$-2\le x<4$$

Answer

$$-2\le x<4$$

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