Solving Inequalities with Multiplication and Division

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Transcript Solving Inequalities with Multiplication and Division

Solving Inequalities with
Multiplication and Division
Here is the Big Rule
• Big Rule- If you multiply or divide by a
negative, you must switch the inequality
• Everything else is the same
4x > 32
Ex 1
x
6
5
z
 3
15
Ex 2
5t  20
6x + 3 > 33
-3x – 5 < 23
Real World
• An elevator can carry up to 2,500 lb.
Suppose the weight of an average adult is
150 lb. At most how many average-sized
adults can safely ride the elevator at the
same time?
With a partner
• Jessica is saving up to buy a new car. She
needs to save at least 6 times more than
she has already saved. How has she
already saved if the car costs $24,000?
Closure
• What is our very important rule??????