Inequalities (Graphing on Number Lines)

Graphing Inequalities

Objective: Graph inequalities on a number line

Multiple Select

WARM-UP

Which statements are true when comparing -13 and -4.

• -13 > -4
• -4 < -13
• -13 < -4
• -4 > -13

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 examples for reference

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 Choice

Would x < 7 be a open or closed circle?

• open

• closed

Multiple Choice

Would x < -10 be a open or closed circle?

• open

• closed

Multiple Choice

Which graph represents

x < 3

Multiple Choice

Which graph represents

x ≥ -17

Draw

Graph: -2 > x

Multiple Choice

Which graph represents

16 > x

Multiple Select

Which inequalities represent the graph?

• x < -4

• x > -4

• -4 > x

• -4 < x

Multiple Choice

What inequality does the number line graph represent?

• x≥ 3

• x > 3

• x < -3

• x ≤ 3

Multiple Choice

What inequality does the number line graph represent?

• x ≤ -4

• x ≥ -4

• x < -4

• x < 4

Multiple Choice

Match the graph with its inequality.

• b > –2

• b < –2

• b ≥ –2

• b ≤ –2

Multiple Choice

What are two numbers that could be x in  x < 8?

• 8.6, 7.9
• 11, 16
• 0.8, 5.9
• 12, 7.1

Multiple Choice

Which graph matches the inequality
x < -2.8?

• A
• B
• C
• D

Multiple Choice

Which graph matches the inequality
2 > p?

• A
• B
• C
• D