T&T6: Ex7.2 Rational Inequalities

Solving inequalities is the same as solving equations, unless you _____________ or _______________ by a _____________ number.

• add, subtract, positive

• add, subtract, negative

• multiply, divide, positive

• multiply, divide, negative

Tags

CCSS.6.EE.B.8

 $\frac{x+4}{x-3}$  

For which value is the expression undefined?

• -4

• -3

• 3

• 0

Tags

CCSS.HSA.APR.D.7

 $\frac{-x}{x-3}\ge0$  

• 0 less than or equal to x < 3

• 0 < x less than or equal to 3

• x less than or equal to 3

• x < 0

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

 $\frac{8}{x+2}<2$  

• -2 < x < 2

• x < -2 or x > 2

• x > -2 or x > 2

• -2 > x > 2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

 $\frac{-9x}{x+12}<-5$  

• -12 < x < 15

• x > -12 or x > 15

• x < -12 or x > 15

• -12 > x > 15

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

 $\frac{x-1}{x^2-4}<0$  

• $-2<x<1$

• $x<-2\ or\ 1<x<2$

• $1<x<2\ or\ x>2$

• $x<-2\ or\ 1\le x\le2$

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

 $\frac{x^2-1}{x^2+1}\le0$  

•  $-1\le x\le1$  

•  $x<-1\ or\ x>1$  

•  $-1<x<1$  

•  $x\ge1$  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.APR.D.7

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

 $\frac{x^2+x-12}{x^2-4x+4}>0$  

•  $x<-4\ or\ x>3$  

•  $-4<x<3$  

•  $-4\le x\le3$  

•  $x\le-4\ or\ x\ge3$ 

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

 $\frac{3}{x-2}\le\frac{2}{x+2}$  

•  $-10<x<-2$  

•  $-10\le x\le-2$  

•  $x\le-10\ or\ -2<x<2$  

•  $x<10\ or\ -2<x\le2$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve for x:
 $\frac{-x-6}{x+3}>0$  

•  $-6<x<-3$   $\$  

•  $-6\le x<-3$   $\$  

•  $x<-6\ or\ x>-3$  

•  $x<-6\ or\ x\ge-3$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3