Multiplying and Dividing Inequalities

When do we FLIP the inequality symbol?

• when multiplying or dividing by a NEGATIVE

• when adding and subtracting a NEGATIVE

• we never switch the inequality

• When there is a negative in the problem

• c ≥ -42
• c ≥ 42
• c ≤ -42
• c ≤ 42

Solve and graph for b. 

• b < 16, open circle, arrow goes left 

• b < 16, solid circle, arrow goes right

• b < 16, solid circle, arrow goes left 

• b < 16, open circle, arrow goes right

• h > 10
• h > -10
• h < 10
• h < -10

This inequality needs to be flipped. Choose the reason why:

When solving inequalities, if you multiply or​ ​ (a)   both sides by a ​ (b)   number, you must ​ (c)   the ​ (d)   symbol.

• divide

• negative

• flip

• inequality

• add

• positive

• equal

v > -12 v > 12 v < 12 v < -12

• v > -12

• v > 12

• v < 12

• v < -12

How would you solve the inequality?

• Multiply

• Divide

Would you reverse the sign?

• Yes, the x is hanging out with a negative

• No, the x is hanging out with a positive

Solve for a.

• a > 240

• a > 12/20

• a < 240

• a > 32