Quiz about System of Quadratic Inequalities

Question 1

Solve the system of quadratic inequalities:

y < x ²- 4

y > - x² + 2

Accepted Answer

$$\left(-\sqrt[]{3},\ \sqrt[]{3}\right)$$

Answer

(-3, 3)

Answer

NO SOLUTION

Answer

$$x<\sqrt[]{-3},\ x>\sqrt[]{3}$$

Question 2

Solve the system of quadratic inequalities:

y $$\le$$ x² + 3

y > -x² - 1

Accepted Answer

-2 < x < 2

Answer

-2 < x

2 < x

Answer

$$\left(\sqrt[]{-2},\ \sqrt[]{2}\ \right)$$

Answer

$$-\sqrt[]{2}<\ x\ <\ \sqrt[]{2}$$

Question 3

Solve the system of quadratic inequalities:

y > x² - 1

y $$\le$$ - 2x² + 5

Accepted Answer

$$-\sqrt[]{2}

Answer

$$-2<x<2$$

Answer

( 2, -2)

Answer

$$\left(-\infty,\ -2\right)\cup\left(2,\ \infty\right)$$

Question 4

Solve the system of quadratic inequalities:

y > x² - 1

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

Accepted Answer

$$\left(-\frac{3\sqrt[]{2}}{2},\ \frac{3\sqrt[]{2}}{2}\right)$$

Answer

(-3, 3)

Answer

$$\left(-\infty,-\frac{3\sqrt[]{2}}{2}\right)\cup\left(\frac{3\sqrt[]{2}}{2},\infty\right)$$

Answer

$$\left(-\frac{6}{2},\ \frac{6}{2}\right)$$

Question 5

Which graph represents the solution to the system of quadratic inequalities?

$$y\ge\ x^2\ +3x-7$$

$$y\le\ -x^2+5x\ +2$$

Please type the letter of the correct answer below.

Accepted Answer

Question 6

Find the points of intersection for the system

$$y\ge2x^2+3x-20$$

$$y\le x^2+x-5$$

Accepted Answer

(-5,15) and (3, 7)

Answer

(5, -15) and (3,7)

Answer

(-5, 15) and (-3, 7)

Answer

(-5, 15) and (3, -7)

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