Writing Solving and Graphing Inequalities

Categorize

Options (12)

Greater than

Above

Below

Less than

At least

greater than or equal to

Minimum of

Maximum of

At most

No more than

Less than or equal to

No less than

Organize these options into the right categories

>

<

≥

≤

Labelling

Label this inequality

Drag labels to their correct position on the image

Inequality

total

Coefficient

operator

constant

Reorder

Put the steps in order for how to solve a two step inequality

• Work on the side with the variable

• Perform the inverse operation of addition or subtraction

• Perform the inverse operation of multiplication or division

1

2

3

• 1
• 2
• 3

​If you multiply or divide both sides by a negative number, you must flip the inequality symbol.

Solve like an equation by isolating the variable on one side of the inequality.

​Solve Inequalities

-2x + 3 > 9

​-2x > 6

x < -3​

Drag and Drop

When solving inequalities, if you multiply or​ ​

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both sides by a ​

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number, you must ​

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the ​

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symbol.

Drag these tiles and drop them in the correct blank above

divide

negative

flip

inequality

add

positive

equal

Drag and Drop

When graphing inequalities:

Use an open circle for ​​

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.

Use a closed circle for ​​​​

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.

Drag these tiles and drop them in the correct blank above

> or <

≥ or ≤

divide

negative

flip

inequality

Match

Match each statement with the correct graph.

y < 6

y > 6

y ≤ 6

y ≥ 6

• y < 6

• y > 6

• y ≤ 6

• y ≥ 6

Audio Response

Scott completes the following problem on a math test:

Write a real-world problem to match the inequality 6g-10 ≥ 35.

His response is shown.

Rudolph has at most $35 to spend at the carnival on Saturday. He spends $10 on lunch. Ride tickets at the carnival are $6 per booklet. What is the maximum number of ticket booklets can he buy?

Scott’s response is marked incorrect. What mistake(s) did he make?

Open Audio Recorder

Page 12

Draw

Rewrite the inequality so that the side with the variable is on the LEFT

THEN

Circle the coefficient in blue

Constant in red

Total in green

Operator in purple

Draw

Label in the same colors each answer choice

Multiple Choice

What situation best represents the inequality?

• A

• B

• C

• D

Multiple Choice

Answer the next question

• A

• B

• C

• D

Multiple Choice

Go to page 13 and answer the question.

• A

• B

• C

• D

Drag and Drop

$400 represents the ​​ ​

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. Withdraw represents ​

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. $25 represents the ​

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. More than represents the ​

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Symbol. $150 represents the ​

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Drag these tiles and drop them in the correct blank above

Constant

A negative

A positive

Coefficient

>

Total

<

Open Ended

Write the inequality that represents this situation.

Drag and Drop

X ​

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​

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Drag these tiles and drop them in the correct blank above

>

<

4

-4

-5

-8

Drag and Drop

X > 4 with be an ​​

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​ circle to with the arrow pointing to the ​

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Drag these tiles and drop them in the correct blank above

Open

Left

Closed

Right