Solving Quadratic Inequalities

Solve the quadratic inequality:

 $x^2-4x-5\le0$  

•  $-1\le x\le5$  

•  $-5\le x\le1$  

•  $x\ge5\ ,\ \ x\le-1$  

•  $x\le-5\ ,\ \ \ x\ge1$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

Solve the quadratic inequality:

 $x^2+9x+18<0$  

•  $x<-6\ ,\ \ x>-3$  

•  $-6<x<-3$  

•  $x<3\ ,\ \ x>6$  

•  $3<x<6$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.CED.A.3

Solve the quadratic inequality:

 $x^2+11x+10\ge0$  

•  $x\le-10\ ,\ \ x\ge-1$  

•  $x\ge-10\ ,\ \ x\le-1$  

•  $-10\le x\le-1$  

•  $x\le1,\ x\ge10$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

Solve the quadratic inequality:

 $x^2+10x+16<0$  

•  $2<x<8$  

•  $-8<x<-2$  

•  $-8<x<2$  

•  $-2<x<8$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.APR.B.3

Solve the quadratic inequality:

 $x^2+3x-28\ge0$  

•  $x\ge4\ ,\ \ x\le-7$  

•  $x\ge7\ ,\ \ x\le-4$  

•  $-4\le x\le7$  

•  $-7\le x\le4$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

Solve the quadratic inequality:

 $x^2-23x+132>0$  

•  $x<11\ ,\ \ x>12$  

•  $11<x<12$  

•  $x<-12\ ,\ \ x>-11$  

•  $-12<x<-11$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

Solve the quadratic inequality:

 $x^2-13x+22\le0$  

•  $x\le-11\ ,\ \ x\ge-2$  

•  $-11\le x\le-2$  

•  $2\le x\le11$  

•  $x\ge11\ ,\ \ x\le2$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

Solve the quadratic inequality:

 $x^2-4x-32<0$  

•  $x<-4\ ,\ \ x>8$  

•  $-8<x<4$  

•  $-4<x<8$  

•  $x<-8\ ,\ \ x>4$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.APR.B.3

Solve the quadratic inequality:

 $x^2-14x+48>0$  

•  $x<6\ ,\ \ x>8$  

•  $6<x<8$  

•  $-8<x<-6$  

•  $x<-8\ ,\ \ x>-6$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.APR.B.3

Solve the quadratic inequality:

 $x^2-49\ge0$  

•  $x\le-7\ ,\ \ x\ge7$  

•  $x\le0\ ,\ \ x\ge7$  

•  $-7\le x\le7$  

•  $-7\le x\le0$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4