Solving Linear Inequalities

Which inequality matches the number line?

• $x\ge2$

• $x>2$
  

• $x<2$
  

• $x\le2$
  

What is the name of this symbol?

 $\ge$  

• Less than

• Greater than

• Less than or equal to 

• Greater than or equal to 

Which figure shows the inequality 

 $x>-4$  

• Figure 1

• Figure 2

• Figure 3

• Figure 4

What inequality is being expressed on this number line?

• $x>2$

• $x<2$

• $x\ge2$

• $x\le2$

 $2x-3\le3$  

Solve:

•  $x\le0$  

•  $x\ge0$  

•  $x\le3$  

•  $x\ge3$  

 $4x-12\ge8$  

Solve:

•  $x\ge1$  

•  $x\ge-1$  

•  $x\ge5$  

•  $x\le-1$  

 $4\left(x-1\right)\le16$  

Solve:

•  $x\le5$  

•  $x\ge5$  

•  $x<5$  

•  $x>5$  

 $-5x<15$  

Solve:

•  $x>3$  

•  $x<3$  

•  $x>-3$  

•  $x<-3$  

Solve: $-8n-8>56$  

•  $n>6$  

•  $n<-8$  

•  $n>-8$  

•  $n>\frac{7}{2}$  

Solve:

 $-3\left(x-5\right)\le3x+9$  

•  $x\le1$  

•  $x\ge1$  

•  $x\ge6$  

•  $x\le6$