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January 30, 2014

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Module 3, Lesson 14

Aim: Solving Inequalities 

Homework: Lesson 14 Problem
Set #1, 3, 4, 5

Do Now:

Lesson 13
Exit Ticket

1
Module 3 Lesson 14.notebook

January 30, 2014

Exit Ticket

2
Module 3 Lesson 14.notebook

January 30, 2014

Exit Ticket: Solution

3
Module 3 Lesson 14.notebook

Homework Answers

January 30, 2014

S.82

4
Module 3 Lesson 14.notebook

January 30, 2014

Preserved

Preserved

Reversed

Preserved

Preserved

Reversed

Reversed

Reversed

Reversed

5
Module 3 Lesson 14.notebook

January 30, 2014

Homework Answers
w + 12

w

w
w + 12

6
Module 3 Lesson 14.notebook

January 30, 2014

Homework Answers

7
Module 3 Lesson 14.notebook

January 30, 2014

Solve the inequality

Interpret the solution

8
Module 3 Lesson 14.notebook

January 30, 2014

Discussion:
1.) Recall the formula for profit is revenue - expenses. In this
example, what represents the revenue and what represents the
expenses?
2.) Why was the inequality "greater than or equal to" used?
3.) What is necessary to reverse the inequality sign? Explain
why or why not.
4.) Why is the answer 211 people versus 210 people?

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Module 3 Lesson 14.notebook

January 30, 2014

Example 1

A youth summer camp has budgeted $2000 for the campers to attend the carnival.
The cost for each camper is $17.95, which includes general admission to the carnival
and 2 meals. The youth summer camp must also pay $250 for the chaperones to
attend the carnival and $350 for transportation to and from the carnival. What is
the greatest amount of campers that can attend the carnival if the camp must stay
within their budgeted amount?

10
Module 3 Lesson 14.notebook

January 30, 2014

Example 2
The carnival owner pays the owner of an exotic animal exhibit $650 for the entire time the
exhibit is displayed. The owner of the exhibit has no other expenses except for a daily
insurance cost. If the owner of the animal exhibit wants to make more than $500 in profits
for the days, what is the greatest daily insurance rate he can afford to pay?

11
Module 3 Lesson 14.notebook

January 30, 2014

Example 3:

There are several vendors at the carnival who sell products and also advertise their
business. Shane works for a recreational company that sells ATVs, dirt bikes, snowmobiles,
and motorcycles. His boss paid him $500 for working all of the days at the carnival plut
5% commission on all of the sales made at the carnival. What was the minimum amount of
sales Shane needed to sell if he earned more than $1,500?

12
Module 3 Lesson 14.notebook

January 30, 2014

Solve the following inequalities.
1.) 4x - 9 < -25
2.) 8 - 2x < -10

13
Module 3 Lesson 14.notebook

January 30, 2014

Closing:
1.) How is the solution to an inequality interpreted?

14

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Module 3 lesson 14