Chapter 2.2 and 2.3 Solving Inequalities in One Step.notebook

Chapter 2.2 and 2.3 Solving Inequalities in One Step.notebook

September 09, 2016

Bellwork:

Add/Subtract:

1)

2)

3)

4) Define a variable and write an inequality for the situation. Graph the solutions.

There must be at least 20 club members present to hold a meeting.

Homework Questions???

Sep 410:18 AM

Chapter 2.2 and 2.3 Solving Inequalities by Adding or Subtracting and Multiplying

or Dividing Be able to solve onestep inequalities by using addition, subtraction, multiplication

and division.

Sep 410:20 AM

Solve the following equations: a. x + 5 = 7

b. y 10 = 5

What steps did you take to solve the equation? Does your answer make sense?

Sep 410:20 AM

We can solve onestep inequalities using the same ideas as solving one step equations. Use inverse operations to "undo" the operation in an inequality.

Use addition and subtraction to solve inequalities:

1) x + 12 < 20

10 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9 10

2) 0.9 n 0.3

5

4

3

2

1

0

1

2

3

4

5

3) d 5 > 7

10 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9 10

Sep 410:22 AM

Sep 87:57 AM

Problem Solving: 4) Sami has a gift card. She has already used $14 of the total

value, which was $30. Write, solve ad graph an inequality to show how much more she can spend.

Sep 410:26 AM

1

Chapter 2.2 and 2.3 Solving Inequalities in One Step.notebook

September 09, 2016

Solve the following equations:

a.

b.

We are going to transfer the same properties to solve an equation by multiplication and division to inequalities. Use multiplication/division to solve the following inequalities.

1)

What steps did you take to solve the equations? Does your

2)

answers make sense?

3)

Sep 87:31 AM

Work with a partner and fill in the appropriate inequality sign:

5 5(3) 5(2) 5(1) 5(0) 5(1) 5(2) 5(3)

8 8(3) 8(2) 8(1) 8(0) 8(1) 8(2) 8(3)

What do you notice happens when you multiply by a negative number? What happens when you multiply by 0?

Aug 244:30 PM

Sep 410:30 AM Solve the following inequalities and graph:

5) 6)

Aug 244:32 PM

Properties of Inequality:

Words Addition and Subtraction: You can add or subtract the same number to both sides of an inequality, and the statement will still be true.

Numbers

3 < 8 3 + 2 < 8 + 2

5 < 10 or

3 < 8 3 2 < 8 2

1 < 6

Algebra

a < b a + c < b + c

or a < b a c < b c

Words

Multiplication and Division: You can multiply or divide both sides of an inequality by the same positive number, and the statement will still be true.

Numbers

3 < 8 3(2) < 8(2)

6 < 16 or 4 < 8

4 ? 2 < 8 ? 2 2 < 4

Algebra

a < b a(c) < b(c)

or a < b a ? c < b ? c

Sep 87:47 AM

Aug 244:29 PM

2

Chapter 2.2 and 2.3 Solving Inequalities in One Step.notebook

September 09, 2016

When you multiply or divide both sides by a negative number you have to reverse (flip) the inequality sign.

Properties of Inequality: Words

Numbers

Multiplication or Divsion by negative numbers: If you multiply or divide both sides of an inequality by the same negative number, you must reverse the inequality symbol for the statement to be true.

3 < 8 3(2) > 8(2)

6 > 16

4 < 8 4 ? 2 > 8 ? 2

2 > 4

Algebra a < b

a(c) > b(c), or

a < b a ? c > b ? c,

if c is < 0.

Homework: Solving OneStep Inequalities

Aug 244:31 PM

Aug 244:32 PM

Sep 93:35 PM

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