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4-6 solving inequalities using multiplication and division. Miss battaglia – algebra 1 CP Objective: Use multiplication and division to solve one-step inequalities; use inequalities to model real-world problems. Warm up. - PowerPoint PPT Presentation
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4-6 S
OLVIN
G INEQUALIT
IES
USING M
ULTIP
LICAT
ION A
ND
DIVIS
ION
MI S
S B
AT T A
GL I A
– A
L GE
BR
A 1
CP
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WARM UP
A tree is 4.5 m tall and has a shadow 5.4 m long. How tall is a bush that has a shadow 1.5 m long? (Hint: Set up a proportion)
WORK WITH A PARTNER
Consider the inequality 4 > 1
Replace each with <, >, or =.
MULTIPLICATION PROPERTY OF INEQUALITY
For all real numbers a and b, for c > 0;If a > b, then ac > bc If a < b, then ac
< bc
For all real numbers a and b, for c < 0;If a > b, then ac < bc If a < b, then ac
> bc
DIVISION PROPERTY OF INEQUALITY
For all real numbers a and b, for c > 0;If a > b, then If a < b, then
For all real numbers a and b, for c < 0;If a > b, then If a < b, then
EXAMPLE
Consider the inequality -2 > -5
a)What inequality do you get when you multiply each side by 3?
b) What inequality do you get when you multiply each side by -3?
SOLVE & GRAPH
SOLVE & GRAPH
SOLVE & GRAPH
SOLVE & GRAPH
COMMUNITY SERVICE
The student council is sponsoring a recycling drive to raise money to buy food for a food bank. A case of 12 jars of spaghetti costs $13.50. What is the greatest number of cases of sauce the student council can buy if they collect $216?
HOMEWORK
Pg 188–189 # 2- 4, 11, 12, 17-22, 24