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Inequalities: An Introduction. Unit 5 Day 1. An inequality is like an equation, but instead of an equal sign (=) it has one of these signs: < : less than ≤ : less than or equal to > : greater than ≥ : greater than or equal to.

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Inequalities an introduction

Inequalities:An Introduction

Unit 5

Day 1


An inequality is like an equation, but instead of an equal sign (=) it has one of these signs:

< : less than

≤ : less than or equal to

> : greater than

≥ : greater than or equal to

teachers.henrico.k12.va.us/math/int10405/29lessons/29les7/solve_ineq_addNT1.ppt


Number line
Number Line

To draw a number line, first draw a line with an arrow on each end. 

http://www.etap.org/demo/Algebra1/lesson2/instruction1tutor.html


Number line1
Number Line

Positive numbers increase to the right. 

Negative numbers “increase” to the left.

http://www.etap.org/demo/Algebra1/lesson2/instruction1tutor.html


Inequality symbols
Inequality Symbols

<

>


http://www-grms.stjohns.k12.fl.us/teams/Wakulla/032E7289-0118C716.12/Microsoft%20PowerPoint%20-%20Inequalities%20on%20a%20numberline%20b.pdfhttp://www-grms.stjohns.k12.fl.us/teams/Wakulla/032E7289-0118C716.12/Microsoft%20PowerPoint%20-%20Inequalities%20on%20a%20numberline%20b.pdf


http://www-grms.stjohns.k12.fl.us/teams/Wakulla/032E7289-0118C716.12/Microsoft%20PowerPoint%20-%20Inequalities%20on%20a%20numberline%20b.pdfhttp://www-grms.stjohns.k12.fl.us/teams/Wakulla/032E7289-0118C716.12/Microsoft%20PowerPoint%20-%20Inequalities%20on%20a%20numberline%20b.pdf


http://www-grms.stjohns.k12.fl.us/teams/Wakulla/032E7289-0118C716.12/Microsoft%20PowerPoint%20-%20Inequalities%20on%20a%20numberline%20b.pdfhttp://www-grms.stjohns.k12.fl.us/teams/Wakulla/032E7289-0118C716.12/Microsoft%20PowerPoint%20-%20Inequalities%20on%20a%20numberline%20b.pdf


http://www-grms.stjohns.k12.fl.us/teams/Wakulla/032E7289-0118C716.12/Microsoft%20PowerPoint%20-%20Inequalities%20on%20a%20numberline%20b.pdfhttp://www-grms.stjohns.k12.fl.us/teams/Wakulla/032E7289-0118C716.12/Microsoft%20PowerPoint%20-%20Inequalities%20on%20a%20numberline%20b.pdf


http://www-grms.stjohns.k12.fl.us/teams/Wakulla/032E7289-0118C716.12/Microsoft%20PowerPoint%20-%20Inequalities%20on%20a%20numberline%20b.pdfhttp://www-grms.stjohns.k12.fl.us/teams/Wakulla/032E7289-0118C716.12/Microsoft%20PowerPoint%20-%20Inequalities%20on%20a%20numberline%20b.pdf


How to graph an inequality
How to graph an inequality:http://www-grms.stjohns.k12.fl.us/teams/Wakulla/032E7289-0118C716.12/Microsoft%20PowerPoint%20-%20Inequalities%20on%20a%20numberline%20b.pdf

  • Draw a number line.

  • Put a circle on the correct number on the number line.

    • Open circles for < and >

    • Closed circles for ≤ and ≥

  • Draw an arrow in the correct direction on the number line.


http://www.nsa.gov/academia/_files/collected_learning/middle_school/pre-algebra/intro_solving_graph_inequal.pdfhttp://www.nsa.gov/academia/_files/collected_learning/middle_school/pre-algebra/intro_solving_graph_inequal.pdf


http://www.nsa.gov/academia/_files/collected_learning/middle_school/pre-algebra/intro_solving_graph_inequal.pdfhttp://www.nsa.gov/academia/_files/collected_learning/middle_school/pre-algebra/intro_solving_graph_inequal.pdf


http://www.nsa.gov/academia/_files/collected_learning/middle_school/pre-algebra/intro_solving_graph_inequal.pdfhttp://www.nsa.gov/academia/_files/collected_learning/middle_school/pre-algebra/intro_solving_graph_inequal.pdf


http://www.nsa.gov/academia/_files/collected_learning/middle_school/pre-algebra/intro_solving_graph_inequal.pdfhttp://www.nsa.gov/academia/_files/collected_learning/middle_school/pre-algebra/intro_solving_graph_inequal.pdf


Homework
Homeworkhttp://www.nsa.gov/academia/_files/collected_learning/middle_school/pre-algebra/intro_solving_graph_inequal.pdf

Page 202,

#1-32

#1)

#9) a.______

b.______

c.______


Now you try
Now You Try!http://www.nsa.gov/academia/_files/collected_learning/middle_school/pre-algebra/intro_solving_graph_inequal.pdf


Place or between each pair of numbers
Place < or > between each pair of numbers.http://www.nsa.gov/academia/_files/collected_learning/middle_school/pre-algebra/intro_solving_graph_inequal.pdf

<

(a) –4 ___ 12(b) 23 ___ –21(c) –145 ___ –211(d) 29 ___ –32(e) –101 ___ –110

>

>

>

>

http://www.etap.org/demo/Algebra1/lesson2/instruction3tutor.html


Which statements are true if m 1
Which statements are true, http://www.nsa.gov/academia/_files/collected_learning/middle_school/pre-algebra/intro_solving_graph_inequal.pdfif m > –1?

m = –1

m = –2

m = 10

m = 1

m = 2

http://www.etap.org/demo/Algebra1/lesson2/instruction3tutor.html


Order the numbers below using inequality signs
Order the numbers below using inequality signs.http://www.nsa.gov/academia/_files/collected_learning/middle_school/pre-algebra/intro_solving_graph_inequal.pdf

21, –11, 0, 43, 11, –19, 54, –45, –25, 19

–45 < –25 < –19 < –11< 0 < 11 < 19 < 21 < 43 < 54

http://www.etap.org/demo/Algebra1/lesson2/instruction3tutor.html


Graph the members of each set on a number line
Graph the members of each set on a number line.http://www.nsa.gov/academia/_files/collected_learning/middle_school/pre-algebra/intro_solving_graph_inequal.pdf

A = {–4, –3, 0, 2, 5}


Graph the members of each set on a number line1
Graph the members of each set on a number line.http://www.nsa.gov/academia/_files/collected_learning/middle_school/pre-algebra/intro_solving_graph_inequal.pdf

B = {–6, –3, 1, 2, 4}


Graph the members of each set on a number line2
Graph the members of each set on a number line.http://www.nsa.gov/academia/_files/collected_learning/middle_school/pre-algebra/intro_solving_graph_inequal.pdf

C = {–5, –1, 1, 3, 5}


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