Solving and Graphing Inequalities

Solve the inequality:
 $4x-2<10$  

•  $x>3$  

•  $x<3$  

•  $x>2$  

•  $x<2$  

Tags

CCSS.HSA.REI.B.3

Solve the inequality:

 $5y-11\ge9$  

•  $y\le4$  

•  $y\le-\frac{4}{11}$  

•  $y\ge4$  

•  $y\ge-\frac{4}{11}$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve the inequality:

 $-27-10x<23$  

•  $x<5$  

•  $x>5$  

•  $x<-5$  

•  $x>-5$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve the inequality:

 $-x+17<11$  

•  $x>6$  

•  $x<6$  

•  $x<28$  

•  $x<-28$  

Tags

CCSS.HSA.REI.B.3

When solving inequalities, when do you flip the inequality symbol?

• When the solution is a negative.

• When you multiply or divide both sides of the inequality by a negative number.

• When you multiply both sides of the inequality by any number.

• When you divide both sides of the inequality by a positive number.

Tags

CCSS.HSA.REI.B.3

Solve the inequality:

 $\frac{-9+y}{15}>1$  

•  $y>24$  

•  $y<-23$  

•  $y>150$  

•  $y>6$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Do I need to flip my sign when I solve this inequality?

 $-4x\ge400$  

• Yes

• No

Tags

CCSS.HSA.REI.B.3

Do I need to flip my sign when I solve this inequality?

 $9x>-27$  

• Yes

• No

Tags

CCSS.HSA.REI.B.3

Solve the inequality and select the graph that represents your solution:

 $8x+12\le28$  

• A

• B

• C

• D

Tags

CCSS.HSA.REI.B.3

Solve the inequality and select the graph that represents your solution:
 $2x-4<8$  

• A

• B

• C

• D

Tags

CCSS.HSA.REI.B.3