unit 6 lesson 1 an inequality is like an equation, but instead of an equal sign (=) it has one of...

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Unit 6 Lesson 1

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Page 1: Unit 6 Lesson 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

Unit 6Lesson 1

Page 2: Unit 6 Lesson 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

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

Page 3: Unit 6 Lesson 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

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

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

Page 4: Unit 6 Lesson 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

Positive numbers increase to the right. Negative numbers “increase” to the left.

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

Page 5: Unit 6 Lesson 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

< >

Page 6: Unit 6 Lesson 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

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

Page 7: Unit 6 Lesson 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

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

Page 8: Unit 6 Lesson 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

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

Page 9: Unit 6 Lesson 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

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

Page 10: Unit 6 Lesson 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

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

Page 11: Unit 6 Lesson 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

1. Draw a number line.2. Put a circle on the correct number on the

number line.◦ Open circles for < and >◦ Closed circles for ≤ and ≥

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

Page 12: Unit 6 Lesson 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

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

Page 13: Unit 6 Lesson 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

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

Page 14: Unit 6 Lesson 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

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

Page 15: Unit 6 Lesson 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

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

Page 16: Unit 6 Lesson 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
Page 17: Unit 6 Lesson 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

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

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

<>

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Page 18: Unit 6 Lesson 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

m = –1 m = –2

m = 10 m = 1

m = 2

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

Page 19: Unit 6 Lesson 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

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

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

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