Module 7: When to flip inequality symbols?

Module 7: When to flip inequality symbols?

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Multiple Choice

Solve the inequality below and explain your steps.

 $3x>-36$  

• To solve the inequality, you need to isolate the variable by dividing 3 on both sides to get  $x>-12$  .

• To solve the inequality, you need to isolate the variable by dividing 3 on both sides to get  $x>12$  .

• To solve the inequality, you need to isolate the variable by multiplying 3 on both sides to get  $x>108$  .

• To solve the inequality, you need to isolate the variable by multiplying 3 on both sides to get  $x>-108$  .

To solve a two-step inequality:

• 1st step: undo addition/subtraction

• 2nd step: undo multiplication/division

Multiple Choice

Solve the inequality below.

 $\frac{p}{9}+10\le11$  

•  $p\le9$  

•  $p\le\frac{1}{9}$  

•  $p\le189$  

Poll

True or False:

Is 1 < 2 ?

• True

• False

Poll

True or False:

Is 4 < 6 ?

• True

• False

If you multiply or divide both sides by a positive number, are the inequalities still true?

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If you multiply or divide both sides by a negative number, are the inequalities still true?

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False

What can we do to the inequality to make it true?

Multiple Select

Which inequalities will have the inequality symbol flipped in the solution? Check ALL that apply.

• A

• B

• C

• D

Multiple Choice

Does the inequality sign flip?

2x < 20

• Yes

• No

Multiple Choice

Does the inequality sign flip?

 $\frac{x}{-2}<20$  

• Yes

• No

Multiple Choice

Does the inequality sign flip?

 $\frac{x}{2}<-20$  

• Yes

• No

Multiple Choice

Does the inequality sign flip?

y - 9 < 55

• Yes

• No

Multiple Choice

Does the inequality sign flip?
-8y - 9 < 55

• Yes
• No

Multiple Choice

Does the inequality sign flip?
13 + 5x < -25

• Yes
• No