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Module 7.3 Lesson 13.notebook
1
November 19, 2015
AIM:
Inequalities
11/19/15Module 3, Lesson 13
HW: Lesson 13 Problem Set
#1, 2, 4, 5
Do Now:
Exit Ticket For Lesson 12 #2
Module 7.3 Lesson 13.notebook
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Module 7.3 Lesson 13.notebook
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Exit Ticket Answers
Module 7.3 Lesson 13.notebook
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Problem Set 12 Answers S.64
-2 > -5
-2 - (-2) > -5 - (-2) 0 > -3
-2(-3) > -5(-3) 6 < 15
Module 7.3 Lesson 13.notebook
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S.64
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S.64
Module 7.3 Lesson 13.notebook
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Inequality Symbols
x > 3 is an INEQUALITY- a mathematical sentence that contains an
inequality symbol instead of an equal sign.
less than
less than
or equal to
greater than
greater than
or equal to
Module 7.3 Lesson 13.notebook
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Less than
Greater than
Open Circle
Greater than or
equal to
Less than or
equal to
Closed Circle
Module 7.3 Lesson 13.notebook
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­10 ­9 ­8 ­7 ­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6 7 8 9 10
How do we graph the inequality below?
a.) x > 3
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b) Graph the following inequality:
x < 6
b.) List three solutions to the inequality.
­10 ­9 ­8 ­7 ­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6 7 8 9 10
Module 7.3 Lesson 13.notebook
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c) Graph the following inequality:
x ≤ -5
b.) List three solutions to the inequality.
­10 ­9 ­8 ­7 ­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6 7 8 9 10
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d) Write the inequality for the following graph.
b.) List three solutions to the inequality.
­10 ­9 ­8 ­7 ­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6 7 8 9 10
Module 7.3 Lesson 13.notebook
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e) Write the inequality for the following graph.
b.) List three solutions to the inequality.
­10 ­9 ­8 ­7 ­6 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 6 7 8 9 10
Module 7.3 Lesson 13.notebook
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Discussion
To summarize, when did the inequality symbol 
change and when did it stay the same?
Preserved Reversed
1.) Add or subtract any
number
2.) Multiply or divide by a
positive
1.) Multiply or divide by a
negative
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S.66
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S.66
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S.66
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S.66
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Discussion:
1.) What is a solution set of an inequality?
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S.66
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Illustrative Mathematics
7.EE Fishing Adventures 2
Alignment 1: 7.EE.B.4
Fishing Adventures rents small fishing boats to tourists for day‐long fishing trips. 
Each boat can only carry 1200 pounds of people and gear
for safety reasons. Assume the average weight of a person is 150 pounds. Each 
group will require 200 lbs of gear for the boat plus 10 lbs
of gear for each person.
a. Create an inequality describing the restrictions on the number of 
people possible in a rented boat. Graph the solution set.
b. Several groups of people wish to rent a boat. Group 1 has 4 people. Group 2 has 
5 people. Group 3 has 8 people. Which of the
groups, if any, can safely rent a boat? What is the maximum number of people that 
may rent a boat?
S.67
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Module 7.3 lesson 13