notes

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AIM:
Inequalities
1/20/16Module 3, Lesson 13
HW: Solving and Graphing
Inequalities Sheet A
Do Now:
Exit Ticket For Lesson 12 #2
CRS #9 due tomorrow

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Exit Ticket Answers

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Problem Set 12 Answers S.74
-2 > -5
-2 - (-2) > -5 - (-2) 0 > -3
-2(-3) > -5(-3) 6 < 15

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S.74

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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

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Less than
Greater than
Open Circle
Greater than or
equal to
Less than or
equal to
Closed Circle

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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

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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

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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

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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.76

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Discussion:
1.) What is a solution set of an inequality?

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Homework #1
­6 < ­7x + 15
Rewrite the inequality

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S.76

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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.77

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S.77

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