4-6 solving inequalities using multiplication and division

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4-6 SOLVING INEQUALITIES USING MU LTIPL I CATION A N D DIVIS ION MIS S BA TTAGLIA – AL G EBRA 1 CP OBJ ECTIVE: USE M ULTI PLICATIO N AND DIV ISION TO SOL V E ON E-STEP I NEQUALITI ES; USE INEQ UAL ITIES TO MODEL RE AL-WORLD PROBLEMS .

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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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Page 1: 4-6 solving inequalities using multiplication and division

4-6 S

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Page 2: 4-6 solving inequalities using multiplication and division

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)

Page 3: 4-6 solving inequalities using multiplication and division

WORK WITH A PARTNER

Consider the inequality 4 > 1

Replace each with <, >, or =.

Page 4: 4-6 solving inequalities using multiplication and division

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

Page 5: 4-6 solving inequalities using multiplication and division

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

Page 6: 4-6 solving inequalities using multiplication and division

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?

Page 7: 4-6 solving inequalities using multiplication and division

SOLVE & GRAPH

Page 8: 4-6 solving inequalities using multiplication and division

SOLVE & GRAPH

Page 9: 4-6 solving inequalities using multiplication and division

SOLVE & GRAPH

Page 10: 4-6 solving inequalities using multiplication and division

SOLVE & GRAPH

Page 11: 4-6 solving inequalities using multiplication and division

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?

Page 12: 4-6 solving inequalities using multiplication and division

HOMEWORK

Pg 188–189 # 2- 4, 11, 12, 17-22, 24