Quadratic Inequalities

A statement that one mathematical expression is greater than, greater than or equal to, less than or less than or equal is called __________.

The following symbols are used to denote inequality except _______________________.

• >

• =

• <

• $\ge$

Which of the following is an example of quadratic inequality?

• 2x² + 3x + 4 > 0

• 15x ≤ 10

• x² - x +15 < -30

• x² + 4x - 5 = 0

Which of the following is the first step in solving quadratic inequality?

• Shade the interval on the number line that represents the solution of the quadratic inequality

• Plot the roots in a number line.

• Change the inequality symbol to equality symbol.

• Solve for the roots of the quadratic equation by factoring.

In graphing quadratic inequality, we use ______________ when the given inequality symbol is > and <.

In graphing quadratic inequality, we use ______________ when the given inequality symbol is 

 $\ge$  and  $\le$  .

Which of the following odes not belong to the group?

• x² - 3x + 4 > 0

• 2x² > 4

• x² + 6x < 3

• x³ + 4x + 8 < 0

Give the correct factor of x² -12x + 27.

• (x + 3) (x + 9)

• (x - 3) (x - 9)

• (x - 3) (x + 9)

• (x + 3) (x - 9)

Which of the following is the correct interval of x² + 2x -24 > 0

• x > -6

• x > 4

• x < 4

• 4 < x < -6

What is the solution of the quadratic inequality  $x^2$ - x $\ge$ 12?

• {x / -3  $\ge$  x  $\ge$  4}
  

• {x / -3  $\le$  x  $\le$  4}

• {x / x $\le$ -3 U x $\ge$ 4}

• {x / x $\le$ 4 U x $\ge$ -3}