One-step Inequalities: Multiplication and Division

One-step Inequalities: Multiplication and Division

The Rule about Negatives...

When solving 1-step Inequalities,

• use inverse operations

• graph your result on a number line

• reverse the inequality symbol ONLY if you multiplied or divided by a negative to isolate the variable

Solution

• Divide both sides by -3

• reverse the inequality symbol

Solution

• multiply by -3

• flip the sign

NO FLIP

• The negative is not with the variable

• DO NOT flip the sign

Why? (video source)

https://www.youtube.com/watch?v=Z_78URnJXBQ

Multiple Choice

Solve 
-9h > (-63)

• h < 7
• h > 7
• h < -7
• h > -7

Multiple Choice

Solve and graph.
^v/₈ < -3

• A
• B
• C
• D

Multiple Choice

• x≤ -6

• x ≥ -6

• x ≤ 6

• x ≥ 6

Multiple Choice

Solve
-5m < 10

• m < -2
• m > -2
• m < -50
• m > -50

Multiple Choice

Solve
(n/3) > -20 

• n > 60
• n < -17
• n > -60
• n < -23