Writing and Graphing Inequalities

Writing/Graphing Inequalities

Students will use inequalities to graph them on the number line.

Writing Inequalities

Watch the video to learn about the symbols for inequalities

 $<$  Less than

 $>$  Greater than
 $\le$  Less than OR equal to
 $\ge$  Greater than OR equal to

Multiple Choice

What does the inequality say?

$$x\ge14$$

• a number greater than or equal to 14

• a number greater than 14

• a number less than or equal to 14

• a number less than 14

Multiple Choice

How would I write "a number less than OR equal to 2"

• 
  

  $$x<2$$
  

• $$x>2$$

• $$x\le2$$

• $$x\ge2$$

Multiple Choice

Write the inequality for the word problem below:
A child needs to be at least 8 years old to enter the museum.

• $$c<8$$  

• $$c>8$$  

• $$c\le8$$  

• $$c\ge8$$  

Multiple Choice

 Write the inequality for the word problem below:

The temperature today is less than yesterday's low temperature of  $$13\degree$$ .

• $$t<13$$  

• $$t>13$$  

• $$t\le13$$  

• $$t\ge13$$  

Graphing Inequalities

Watch the video to learn about which circle you will use on the number line.

You will use a closed (shaded) circle on the number line for  $\le or\ge$  
You will use a open (unshaded) circle on the number line for  $<or>$  

Multiple Choice

Would I use a closed circle or an open circle on the number line for $$x\ge7$$ ?

• Closed (shaded) circle

• Open (unshaded) circle

Multiple Choice

 Would I use a closed circle or an open circle on the number line for  $$x<6$$ ?

• Closed (shaded) circle

• Open (unshaded) circle

Multiple Select

If I had a closed (shaded) circle on a number line...which inequalities could it be graphing?

*Choose 2 answers*

• $$x>7$$

• $$x\le7$$

• $$x<7$$

• $$x\ge7$$

Multiple Select

If I had an open (unshaded) circle on a number line...which inequalities could it be graphing?

*Choose 2 answers*

• $$x<9$$

• $$x\le9$$

• $$x>9$$

• $$x\ge9$$

Graphing Inequalities

 Watch the video to learn which direction your arrow should point on the nuber line.

You will use a -----> arrow to graph inequalities that use  $>or\ge$ 

You will use a <----- arrow to graph inequalities that use  $<or\le$  

Multiple Choice

 Use what you know about the direction of the arrow...which direction will the arrow point for  $$x\le5$$ ?

Multiple Choice

 Use what you know about the direction of the arrow...which direction will the arrow point for $$x\ >10$$ ? 

Multiple Select

If the arrow is pointing as shown, which inequalities could it be graphing?

*Choose 2 answers*

• $$x<8$$

• $$x\le8$$

• $$x>8$$

• $$x\ge8$$

Multiple Select

If the arrow is pointing as shown, which inequalities could it be graphing?

*Choose 2 answers*

• $$x<4$$
  

• $$x\le4$$

• $$x>4$$

• $$x\ge4$$