Solving Quadratic Inequalities

Solve.  $\left(x-3\right)\left(x+5\right)>0$  

• X>3 and x>-5

• x>3 or x<-5

• -5<x<3

• x<3 or x>-5

Solve.  $x^2-12x+30<-2$  

• x<4 or x>8

• 4>x<8

• x>4 or x<8

• 4<x<8

Solve.  $x^2+2x-12>0$ 
Round to the nearest tenth.

• x<-4.6 or x>2.6

• No solution

• -4.6<x<2.6

• x<-2.6 or x>4.6

Solve. $-(x-5)(x+2)\ge0$  

•  $x<-2\ or\ x>5$  

•  $x\le-2\ or\ x\ge5$  

•  $-2\le x\le5$  

•  $-2<x<5$  

Solve.  $x^2-5x+8\ <\ 0$  
Round to the nearest tenth.

• 1.2<x<3.8

• x<1.2 or x>3.8

• No solution

• All real numbers

Solve.  $-x^2-4x-8\ \le0$  
Round to the nearest tenth.

•  $x\le-4\ or\ x\ge0$  

•  $-4\le x\le0$  

• No solution

• All real numbers

Solve.  $-x^2+3x+5<0$ 
 Round to the nearest tenth.

• x<-1.2 or x>4.2

• -1.2<x<4.2

• x<-1.2 and x>4.2

• All real numbers

Solve.  $x^2-2x-4<1$  
Round to the nearest tenth.

• x<-1.4 or x>3.4

• -1.4<x<3.4

• x<-1.2 and x>3.2

• -1.2<x<3.2

Solve.  $\left(2x-3\right)\left(-x+7\right)\le0$  

•  $0.7\le x\le7$  

•  $1.5\le x\le7$  

•  $x\le1.5\ or\ x\ge7$  

•  $x\le-7\ or\ x\ge0.7$  

Solve.  $\left(3x-5\right)^2\le0$  
Round to the nearest tenth.

• No solution

•  $x\ge\frac{5}{3}$  

•  $x\le\frac{5}{3}$  

•  $x=\frac{5}{3}$