Inequalities Flip or No Flip

-4 ≤ -4m

• FLIP

• Nah!

-⅖x ≥ -10

• FLIP

• Nah!

What do you look at to know when to flip the sign?

• inequality symbol

• if the answer is negative

• the number with the variable

Divide by a negative

• Flip

• Nah!

-5x + 12 > 35

• Flip

• Nah!

-3(2x + 5) > 15

• FLIP

• Nah!

3x + 4 - 5x > -9

• FLIP

• Nah!

Sally solved -3x<9. Her answer was x<-3. Is she right?

• No she did not flip the inequality, her answer should be x>-3

• Yes, Sally is always right.

• No, Sally should have multiplied x<-27

• No, Sally should have subtracted x > -3

-16 + 2x + 7x > 14

• Flip

• Nah!

What is the rule for inequalities?

• If you add or subtract by a negative - flip the sign.

• If you multiply or subtract by a negative - flip the sign.

• Never flip the sign, ever.

• If you multiply or divide by a negative - flip the sign.