Solving and Writing Inequalities Guided Practice

Match

Match each phrase with the correct symbol.

• $$>$$  

• $$\ge$$  

• $$\le$$  

• $$<$$  

greater than

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

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*

• $$x<4$$
  

• $$x\le4$$

• $$x>4$$

• $$x\ge4$$

Multiple Choice

Which graph matches the inequality

k < 3?

• A

• B

• C

• D

Multiple Choice

Level 1

Match the graph with its inequality.

• 11 < a

• 11 > a

• 11 ≤ a

• 11 ≥ a

Multiple Choice

Which graph matches the inequality
2 > p?

• A
• B
• C
• D

Match

Match each statement with the correct graph.

y < 6

y > 6

y ≤ 6

y ≥ 6

• y < 6

• y > 6

• y ≤ 6

• y ≥ 6

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 Choice

Jasmine solves the equation 15x > 120.

Which number line below represents the solution set?

Draw

x ≤ 5

Draw

p ≥ 3

Multiple Choice

Level 3

Which number line shows the solution set to the inequality below?

x - 3 > -3

• A

• B

• C

• D

Greater Than

Write the inequality for: The piece of wire, w, is longer than 20 feet.

Written in words: w is greater than 20

Writing Inequalities

How can you use an inequality to describe a situation?

Multiple Select

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

*Choose 2 answers*

• $$x<9$$

• $$x\le9$$

• $$x>9$$

• $$x\ge9$$

Greater Than or Equal To

Write the inequality for: The Pizza, p, will cost at least $8.

Written in words: p is greater than or equal to $8.

Less Than

Write the inequality for: Henry's height, h, less than 60 inches.

Written in words: h is less than 60

Less Than or Equal To

Write the inequality for: The classroom holds at most 30 students, s.

Written in words: s is less than or equal to 30

Draw

Mr Menendez has no more than 10 fingers

Draw

Mr Menendez has at least $10 in his pocket

Multiple Choice

Choose an inequality for the situation.

A number, n, is greater than 22.

Multiple Choice

Choose an inequality for the situation.

The cost, c, is less than $45.

Multiple Choice

Choose an inequality for the situation.

The distance, d, is at least 110 miles.

Multiple Choice

You spent less than 5 hours on homework each night.

• x > 5
• x < 5
• x ≤ 5
• x ≥ 5

Multiple Choice

You and your friends ate more than 8 slices of pizza at the party.

• x > 8
• x < 8
• x ≤ 8
• x ≥ 8

Multiple Choice

You can spend no more than 20 dollars on your mom's birthday present.

• x > 20
• x < 20
• x ≤ 20
• x ≥ 20

Multiple Choice

you must be at least 48 inches to ride the roller coaster.

• x > 48
• x < 48
• x ≤ 48
• x ≥ 48

Multiple Choice

At least 25 cats are on my porch.

• c<25
• c>25
• c≤25
• c≥25

Multiple Choice

Every night you must read no less than 10 pages of the book. (use the variable x)

• $$x\le10$$

• $$x<10$$

• $$x>10$$

• $$x\ge10$$

Multiple Choice

There are fewer than 150 children at the playground.

• c<150
• c>150
• c≤150
• c≥150

Multiple Choice

There are no more than 18 students on the hall.

• s>18

• s<18

• s≤18

• s≥18

Multiple Choice

A number x is at least -4

• $$x<-4$$

• $$x>-4$$

• $$x\le-4$$

• $$x\ge-4$$

Multiple Choice

x is more than 0

• x > 0

• $$x\ge0$$

• $$x<0$$

• $$x<0$$

Categorize

Options (8)

Charlie has less than $20

Miguel read more than 150 books.

The speed limit is 70 miles per hour.

The restaurant can hold up to 100 people.

The temperature is at least 90 degrees

I need 30 minutes or more to get ready in the morning.

The temperature is more than 90 degrees.

The kitten weighs fewer than 3 pounds.

Sort the statements into the categories below.

Less Than

Greater Than

Less than or equal to

Greater than or equal to

Multiple Choice

You must buy more than 100 bracelets to get a discount. Which inequality shows the number of bracelets (b) you must buy to get a discount?

• b > 100

• b < 100

• b > 100

• b < 100

Multiple Choice

If s ≤ 35, which is NOT a solution of the inequality?

• 25
• 35
• 42
• 30

Multiple Choice

You must be no less than 16 to watch the movie. (use the variable x)

• $$x\le16$$

• $$x\ge16$$

• $$x>16$$

• $$x<16$$

Multiple Choice

You have less than $50 to spend. (use the variable x)

• $$x<50$$

• $$x\le50$$

Multiple Choice

There is a minimum charge of $15 to play mini-golf. (use the variable x)

• $$x\ge15$$

• $$x>15$$

• $$x\le15$$

• $$x<15$$

Multiple Choice

You can invite up to and including 18 friends to your birthday party. (use the variable x)

• $$x<18$$

• $$x\le18$$

• $$x\ge18$$

• $$x>18$$

Multiple Choice

Do I need to flip my sign?
-3x  ≥ 12

• Yes
• No

Multiple Choice

Do I need to flip my sign?
3x  ≥ 12

• Yes
• No

Multiple Choice

Does the given value make the inequality true? x + 9 > 21, when x = 15

• True

• Not True

Poll

How are you feeling about writing inequalities?

• No problem!

• I'm pretty sure I got his.

• I think I know what a greater than sign is.

• What are these triangle thingys?