2.2.6 Solving Compound Inequalities

Solve the following Compound Inequality:

 $6<x-6\le9$  

•  $12<x\le15$  

•  $12\le x<15$  

•  $12\ge x>15$  

•  $12>x\ge15$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Is  $7$  a solution to  $-2<x<5$  

• Yes

• No

Tags

CCSS.HSA.REI.B.3

Solve the following Compound Inequality:

 $x+3<5\ \ \ or\ \ \ 2x>10$  

•  $x<2\ \ \ or\ \ \ x>5$  

•  $x<8\ \ \ or\ \ \ x>20$  

•  $2>x>5$  

•  $2>x>5$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

What do happens to the inequality symbol after dividing all sides by  $-2$  ?

 $-4<-2x<-8$  

• The inequality symbol 'Flips', 
  
   $<$  becomes  $>$  

• Nothing

Tags

CCSS.HSA.REI.B.3

Solve the following Compound Inequality:

 $-4<-2x<12$  

•  $2>x>-6$  

•  $2<x<-6$  

•  $-2>x>6$  

•  $-2<x<6$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Is  $3$  a solution to  $-2<x<5$  

• Yes

• No

Tags

CCSS.HSA.REI.B.3

Solve the following Compound Inequality:

 $5x+2<7\ \ \ or\ \ \ -2x\le-20$  

•  $x<1\ \ \ or\ \ \ x\ge10$  

•  $x<1\ \ \ or\ \ \ x\le10$  

•  $x>1\ \ \ or\ \ \ x\ge-10$  

•  $x>1\ \ \ or\ \ \ x\ \le\ -10$  

Tags

CCSS.HSA.REI.B.3

Solve the following Compound Inequality:

 $9<3x+6\le36$  

•  $1<x\le10$  

•  $3<x\le18$  

•  $0<x\le6$  

•  $3<x\le12$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Is  $5$  a solution to  $x<-5\ \ \ or\ \ \ x\ge5$  

• Yes

• No

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve the following Compound Inequality:

 $4x-2\le-22\ \ or\ \ \ 3x>-6$  

•  $x\le-5\ \ \ or\ \ \ x>-2$  

•  $x\le5\ \ \ or\ \ \ x>-2$  

•  $x\le-6\ \ \ or\ \ \ x>-2$  

•  $x\le6\ \ \ or\ \ \ x\ >-2$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3