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 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 Line Positive numbers increase to the right. Negative numbers “increase” to the left. http://www.etap.org/demo/Algebra1/lesson2/instruction1tutor.html

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

How to graph an inequality: • 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

Homework Page 202, #1-32 #1) #9) a.______ b.______ c.______

Now You Try!

Place < or > between each pair of numbers. < (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? 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. 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. A = {–4, –3, 0, 2, 5}

Graph the members of each set on a number line. B = {–6, –3, 1, 2, 4}

Graph the members of each set on a number line. C = {–5, –1, 1, 3, 5}

Inequalities: An Introduction

Inequalities: An Introduction

Presentation Transcript

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