2-7 Solve Quadratic Inequalities 11 12 20

Which inequality is shown?

• y< -x²

• y≤ -x²

• y> -x²

• y≥ -x²

Solve:

2x² + 5x ≥ 12

• [-4, 1.5]

• (−∞, -4) U (1.5, ∞)

• (−∞, -4] U [1.5, ∞)

• no solution

Which inequality is represented by the graph?

• y > (x - 3)² - 3

• y ≥ (x + 3)² - 3

• y > (x + 3)² - 3

• y ≥ (x - 3)² - 3

Which inequality is represented by the graph?

• y > -(x - 4)² + 1

• y > -(x - 1)² + 4

• y < (x - 4)² + 1

• y > (x + 4)² + 1

• y ≤ (x - 3)² + 3

• y < (x + 3)² - 3

• y < (x - 3)² - 3

• y ≤ (x + 3)² - 3

Solve the quadratic inequality:

 $x^2-4x-32<0$  

•  $x<-4\ ,\ \ x>8$  

•  $-8<x<4$  

•  $-4<x<8$  

•  $x<-8\ ,\ \ x>4$  

Solve the quadratic inequality:

 $x^2-14x+48>0$  

•  $x<6\ ,\ \ x>8$  

•  $6<x<8$  

•  $-8<x<-6$  

•  $x<-8\ ,\ \ x>-6$  

Solve the quadratic inequality:

 $x^2-13x+22\le0$  

•  $x\le-11\ ,\ \ x\ge-2$  

•  $-11\le x\le-2$  

•  $2\le x\le11$  

•  $x\ge11\ ,\ \ x\le2$  

Solve.

 $2x^2+4x+1=0$  

•  $\frac{-2\pm\sqrt{2}}{2}$  

•  $-2\pm\sqrt{2}$  

•  $\frac{2\pm\sqrt{2}}{2}$  

•  $2\pm\sqrt{2}$  

• y ≥ -(x + 4)² + 1

• y < -(x - 4)² + 1

• y ≤ (x - 4)² + 1

• y ≤ -(x - 4)² + 1