Quadratic Inequalities

Determine the solution of the given quadratic inequality.

 $\left(x+2\right)\left(2x-3\right)>0$  

•  $x<-2\ or\ x>\frac{3}{2}$  

•  $-2<x<\frac{3}{2}$  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

Determine the solution of the given quadratic inequality.

 $\left(x-4\right)\left(4x-5\right)\ge0$  

•  $x\le\frac{5}{4}\ or\ x\ge4$  

•  $\frac{5}{4}\le x\le4$  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

Determine the solution of the given quadratic inequality.

 $\left(5x-3\right)\left(x+1\right)<0$  

•  $x<-1\ or\ x>\frac{3}{5}$  

•  $-1<x<\frac{3}{5}$  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

Determine the solution of the given quadratic inequality.

 $\left(3x-2\right)\left(2x-3\right)\le0$  

•  $x\le\frac{2}{3}\ or\ x\ge\frac{3}{2}$  

•  $\frac{2}{3}\le x\le\frac{3}{2}$  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

Determine the solution of the given quadratic inequality.

 $\left(x+5\right)\left(x-10\right)>0$  

•  $x<-5\ or\ x>10$  

•  $-5<x<10$  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

Determine the solution of the given quadratic inequality.

 $\left(x+11\right)\left(3x+11\right)\ge0$  

•  $x\le-11\ or\ x\ge-\frac{11}{3}$  

•  $-11\le x\le-\frac{11}{3}$  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

Determine the solution of the given quadratic inequality.

 $\left(2x-9\right)\left(x-12\right)<0$  

•  $x<\frac{9}{2}\ or\ x>12$  

•  $\frac{9}{2}<x<12$  

Tags

CCSS.HSA.CED.A.1

Determine the solution of the given quadratic inequality.

 $\left(x+6\right)\left(4x-13\right)\le0$  

•  $x\le-6\ or\ x\ge\frac{13}{4}$  

•  $-6\le x\le\frac{13}{4}$  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

Determine the solution of the given quadratic inequality.

 $\left(x-8\right)\left(x+3\right)>0$  

•  $x<-3\ or\ x>8$  

•  $-3<x<8$  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

Determine the solution of the given quadratic inequality.

 $\left(x-6\right)\left(4x+6\right)\ge0$  

•  $x\le-\frac{3}{2}\ or\ x\ge6$  

•  $\frac{-3}{2}\le x\le6$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4