Module 3 Lesson 13.notebook

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AIM:Inequalities

1/20/15Module 3, Lesson 13

HW: Lesson 13 Problem Set#1, 2, 4, 5

Do Now:

Exit Ticket For Lesson 12 #2

CRS #11 due Thursday

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Exit Ticket Answers

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Problem Set 12 Answers

0 > -3

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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 thanor equal to

greater than greater thanor 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.

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c) Graph the following inequality:

x ≤ -5

b.) List three solutions to the inequality.

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d) Write the inequality for the following graph.

b.) List three solutions to the inequality.

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e) Write the inequality for the following graph.

b.) List three solutions to the inequality.

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Discussion:

1.) Why is it possible to have more than one solution?

2.) So the minimum amount of money Tarik needs is $265.49, but he could have more but certainly not less. What inequality would demonstrate this?

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DiscussionTo 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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Discussion:

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

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Illustrative Mathematics7.EE Fishing Adventures 2Alignment 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 gearfor 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 lbsof 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 thegroups, if any, can safely rent a boat? What is the maximum number of people that may rent a boat?

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