Inequalities Review

• I can write inequalities from given graphs on the number line by writing using the correct variable, inequality symbol, and rational number.

• I can explain how to graph inequalities from a given inequality statement by graphing the correct number on the number line, filled in or empty circle at this number, and correct direction of shading and arrow.

• I can write an inequality statement for a given real-life situation by writing the correct number and inequality symbol to represent the scenario.

Learning Intentions

Inequalities Review

​Inequality: A mathematical sentence that compares expressions using <, >, ≤, or ≥ symbols.
Variable: A symbol, usually a letter, used to represent an unknown value.
Solution: A value that makes an inequality true.
Graph: A visual representation of an inequality on a number line.

Key Vocab

• My inequality statements have the correct symbol in the correct direction, the given rational number, and a variable.

• My graphs of inequalities have the correct circle on the given number and direction of shading.

Success Criteria

Inequalities Review

Match

Match the following inequality symbols:

• ≥

• ≤

• <

• >

Greater than or equal to

Less than or equal to

Less than

Greater than

• Greater than or equal to

• Less than or equal to

• Less than

• Greater than

Multiple Choice

x is greater than -7

• x < -7

• x ≤ -7

• x > -7

• x ≥ -7

Multiple Choice

x is greater than or equal to -7

• x < -7

• x ≤ -7

• x > -7

• x ≥ -7

Multiple Choice

x is less than -7

• x < -7

• x ≤ -7

• x > -7

• x ≥ -7

Multiple Choice

x is less than or equal to -7

• x < -7

• x ≤ -7

• x > -7

• x ≥ -7

Categorize

Options (20)

Greater than

More than

Higher

Above

Heavier

Less than

Below

Under

Shorter

Colder

Greater than or equal to

At least

At minimum

No less than

Less than or equal to

At most

No more than

At maximum

No older than

Fewer than

Match these phrases to their correct inequality symbols:

>

<

≥

≤

Multiple Choice

Pick the correct graph for:
x ≥ 6

• A
• B
• C
• D

Multiple Choice

Write the inequality for:

The Jazz have won more than 20 games.

• x > 20

• x < 20

• x ≥ 20

• x ≤ 20

Multiple Choice

Write an inequality for the sentence:

The movie will be no more than 90 minutes long.

• $$m\ge90$$

• $$m\le90$$

• $$m>90$$

• $$m<90$$

Multiple Choice

Write an inequality for the sentence:

Utah's average elevation is at least than 6,000 feet above sea level.

• $$m\ge6000$$

• $$m\le6000$$

• $$m>6000$$

• $$m<6000$$

Multiple Choice

Write the inequality: 
The Avalanche won at most 50 games.

• x > 50

• x < 50

• x ≥ 50

• x ≤ 50

Multiple Choice

Write the inequality:
You have to be 54 inches or taller to ride the Colossus.

• x > 54
• x < 54
• x ≥ 54
• x ≤ 54

Multiple Choice

Write an inequality for the sentence:

There are at most 45 days left until Spring Break.

• $$p\ge45$$

• $$p\le45$$

• $$p>45$$

• $$p<45$$

Multiple Choice

Write an inequality for the sentence:

Kevin ran fewer than 5 miles during practice.

• $$k\ge5$$

• $$k\le5$$

• $$k>5$$

• $$k<5$$

Multiple Choice

If you were to graph the inequality below, would you shade left or right of 9?
x ≤ 9

• left
• right

Multiple Choice

Write an inequality for the sentence:

The capacity of the theater is 437 people.

• $$p\ge437$$

• $$p\le437$$

• $$p>437$$

• $$p<437$$

Multiple Select

Which of the following are solutions of the inequality:

x < -20

• -20

• 12

• -7

• -30

• -20.3

Multiple Select

Which of the following are solutions of the inequality:

x ≥ 7

• 7

• -4

• $$\frac{1}{2}$$

• 10.6

• $$7\frac{2}{3}$$

Multiple Select

Which symbols below would be graphed with a filled in dot at the number?

Select all that apply.

• <

• ≥ 

• ≤

• >

• ΨΞ

Multiple Select

Which symbols below would be graphed with an empty dot at the number?

Select all that apply.

• <

• ≥ 

• ≤

• >

• 🐍

Multiple Choice

Select the correct graph to represent the inequality $$f>1$$  

Multiple Choice

Match the graph with its inequality.

• a > 11
• a < 11
• a ≥ 11
• a ≤ 11

Multiple Choice

Select the correct graph to represent the inequality $$x\le5$$  

Multiple Choice

At Least

• <
• >
• ≤
• ≥

Multiple Choice

Select the correct graph to represent the inequality $$y\ge4$$  

Multiple Choice

Match the graph with its inequality.

• g > –2.8
• g < –2.8
• g ≥ –2.8
• g ≤ –2.8

Multiple Choice

Select the correct graph to represent the inequality $$s<20$$  

Multiple Choice

What inequality does the number line graph represent?

• x > 5
• x < −5
• x ≥ 5
• x ≥ −5

Multiple Choice

What inequality does the number line graph represent

• x ≤ 4
• x ≥ -4
• x < -4
• x < 4

Multiple Choice

What inequality does the number line graph represent?

• b > –2
• b < –2
• b ≥ –2
• b ≤ –2

Multiple Choice

If you were to graph the inequality below, would you shade the graph to left or right of 9?
x ≥ 9

• left
• right

Multiple Choice

What inequality does the number line graph represent?

• x ≤ -4
• x ≥ -4
• x < -4
• x < 4

Multiple Select

To be in high school, you must be at least 14 years old but no older than 18.

Which TWO inequalities represent the ages of people in high school?

• a > 18

• a ≤ 18

• a ≥ 14

• a < 18

Multiple Choice

Match the graph with its inequality.

• g > –2.8
• g < –2.8
• g ≥ –2.8
• g ≤ –2.8

Multiple Choice

When graphing an inequality, you use an empty dot or circle when you use which two symbols?

• <, >
• ≤, ≥ 
• ≤, <
• ≥, >

Multiple Choice

When graphing b < 6 would you use a filled in or empty circle?

• Filled in

• Empty

Multiple Choice

When graphing b ≤ 6 would you use a filled in or empty circle?

• Filled in

• Empty

Multiple Choice

Which graph matches the inequality
k < 3?

• A
• B
• C
• D

Multiple Choice

Which graph matches the inequality
p < 2?

• A
• B
• C
• D

Multiple Choice

Which graph matches the inequality 
x ≥ 2.5?

• A
• B
• C
• D

Multiple Choice

Karen has $25 to buy her best friend a gift.  How much can the gift cost?
Let c represent the cost of the gift.

• c > 25

• c ≥ 25

• c < 25

• c ≤ 25

Multiple Choice

Which inequality matches the graph?

• A
• B
• C
• D

Multiple Choice

At Most

• <
• >
• ≤
• ≥

Multiple Choice

Which inequality matches the graph?

• A
• B
• C
• D

Multiple Choice

What is the correct inequality for the following sentence?

The class will eat no more than 35 cupcakes. 

• p ≤ 35
• p = 35
• p > 35 
• p < 35

Multiple Choice

Below, under, shorter

• <
• >
• ≤
• ≥

Multiple Choice

Solve the inequality by subtracting 7 from both sides:
x + 7 < 9 

• x < 2
• x < 16
• x < 63

Multiple Choice

Pick the correct inequality.

• A
• B
• C
• D

Multiple Choice

With the dot filled in and pointing right, which solution is correct?

• a > 11

• a < 11

• a ≥ 11

• a ≤ 11

• Undecided

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 solutions to x < 8?

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

Multiple Choice

Which inequality does the number line graph represent?

• x > 5
• x < −5
• x ≥ 5
• x ≥ −5

Multiple Choice

Pick the correct letter for:
6 > x

• A
• B
• C
• D

Multiple Choice

Match the graph with its inequality.

• b > –2
• b < –2
• b ≥ –2
• b ≤ –2

Multiple Choice

No More Than

At Most

A maximum of

• <
• >
• ≤
• ≥

Multiple Choice

Is x = 12 a given solution to the inequality.
x ≥ 5

• Yes, 12 is greater than or equal to 5.

• No, 12 is not greater than or equal to 5.

Multiple Choice

Fewer Than

• <
• >
• ≤
• ≥

Multiple Choice

Is x = 9 a solution to the given inequality:

x > 9

• No, 9 is not greater than 9.

• Yes, 9 is greater than 9.

Multiple Choice

The maximum score on the pilot's test is 95 points.

• p < 95
• p > 95
• p ≥ 95
• p ≤ 95

Multiple Choice

Write an inequality for this situation:
The shoes are selling for a minimum of $100 on StockX.

• c < 100
• c > 100
• c ≤ 100
• c ≥ 100

Multiple Choice

When you graph an inequality, you used a closed or filled in dot when you use which two symbols?

• ≤, ≥ 
• <, >
• ≤, <
• ≥, >

Multiple Choice

Write an inequality for this situation:
You are driving, and the maximum speed limit is 55.

• s < 55
• s > 55
• s ≤ 55
• s ≥ 55

Multiple Choice

What is the correct inequality for the following sentence?

Rudy is more than 7 feet tall. 

• r ≤ 7

• r = 7

• r > 7

• r < 7

Multiple Select

To join the basketball league, you must be older than 12 but no older than 18.

Which TWO inequalities represent the heights for joining the league?

• a > 12

• a ≤ 18

• a < 12

• a ≥ 18

Multiple Choice

What is the correct inequality for the following sentence?

Jared must do more than 35 pushups to win the contest.

• m ≤ 35

• m = 35

• m > 35 

• m < 35