Interval Notation Practice (Explorations)

Look at the Graph. Write the inequality in interval notation.

• $\left[-4,-1\right)$

• $\left(-4,-1\right)$

• $\left(-4,-1\right]$

• $\left[-4,-1\right]$

Look at the graph. Write the inequality in interval notation.

• 
  

  $\left(-2.5\right)$

• $\left(-\infty,-2\right)\cup\left(5,\infty\right)$

• $\left[-2,5\right]$

• $\left(-\infty,-2\right]\cup\left[5,\infty\right)$

What is the interval notation for the graph?

• $\left[-3,2\right)$
  

• $\left(-3,2\right]$

• $\left(-\infty,-3\right]\cup\left(2,\infty\right)$

• $\left(-\infty,-3\right)\cup\left[2,\infty\right)$

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Express the following in interval notation:

 $-8\le x<8$  

•  $\left[-8,9\right]$ 

•  $\left[-8,8\right)$  

•  $\left(-8,8\right]$  

•  $\left(-8,8\right)$ 

Express the following in interval notation:

 $x<3\ or\ x\ge5$  

•  $\left(3,-\infty\right)\cup\left(\infty,5\right]$ 

•  $\left[-\infty,3\right)\cup\left[5,\infty\right]$  

•  $\left(-\infty,3\right)\cup\left[5,\infty\right)$  

•  $\left[3,-\infty\right)\cup\left(\infty,5\right)$ 

Solve for x. Write your answer in interval notation:
 $6x+4\le-2$  

•  $\left(-\infty,-1\right]$ 

•  $\left(1,\infty\right)$ 

•  $\left(-\infty,-\frac{1}{3}\right]$  

•  $\left(-3,\infty\right)$  

Solve for x. Write your answer in interval notation:
 $-2x-9<1$  

•  $\left(-5,\infty\right)$  
  

•  $\left(-\infty,-5\right)$  
  

•  $\left(-4,\infty\right)$  
  

•  $\left(-\infty,-4\right)$  
  

Solve for x. Write your answer in interval notation:
 $-2\le3x-1<5$  

•  $\left[-\frac{1}{3},2\right)$  
  

•  $\left(-1,\frac{4}{3}\right]$  
  

•  $\left(-\infty,-2\right]\cup\left(5,\infty\right)$  
  

•  $\left(-\infty,-5\right)\cup\left[2,\infty\right)$  
  

Solve for x. Write your answer in interval notation:
 $-7<2x-1\le19$  

•  $\left(-3,10\right]$ 

•  $\left[-4,9\right)$ 

•  $\left[-3,10\right)$  

•  $\left(-4,9\right]$  

Solve for x. Write your answer in interval notation:
 $3x+2<-7\ \ or\ \ -4x+5<1$  

•  $\left[-3,1\right]$  

•  $\left(-3,1\right)$  

•  $\left(-\infty,-3\right]\cup\left[1,\infty\right)$  

•  $\left(-\infty,-3\right)\cup\left(1,\infty\right)$