Monday, November 8

Make sure your name is on your homework and it is complete (Pr. 3-2)

Fill in Agenda Practice 3-3

Bell Work

16;2

18 tt

3

2;2114 xx

6;16

xx

4.6;325 dd

18;123

2 xx

EXAMPLE

A Multiply by a Positive Number

Solve . Then graph the solution.104

a

EXAMPLE

B Divide by a Positive Number

Solve: 4x > 20 Then graph the solution.

Solve the inequality. Then graph the solution

CheckpointCheckpoint Multiply or Divide by a Positive Multiply or Divide by a Positive Number.Number.

1.

2. 18 2k

4. -21 3y

2

1

4

k

3. 6 < 5

t

34 3124 2114 11

04 01

)1(4 )1(1

)2(4 )2(1

)3(4 )3(1

Consider 4 > 1

PROPERTIES OF INEQUALITY

Multiplication Property of Inequality (c < 0)

For all real numbers a, b, and for c < 0:

If a > b, then ac < bc

If a < b, then ac > bc

Division Property of Inequality (c < 0)

For all real numbers a, b, and c < 0:

If a > b, then a ÷ c < b ÷ c

If a < b, then a ÷ c > b ÷ c

Things to remember about Multiplying and Dividing Inequalities!

Dividing both sides of an inequality by a POSITIVE number and the inequality stays the same.

Dividing both sides of an inequality by a NEGATIVE number and the inequality flips and faces the other way.

Multiply both sides of an inequality by a POSITIVE number and the inequality stays the same.

Multiply both sides of an inequality by a NEGATIVE number and the inequality flips and faces the other way.

EXAMPLE

C Multiply by a Negative Number

Solve . Then graph the solution.52

1 y

EXAMPLE

D Divide by a Negative Number

Solve . Then graph the solution.208 x

Solve the inequality. Then graph the solution

1. 15

1 p

2. 53

2 x

Solve the inequality. Then graph the solution

4. 12 > -5n

3. t624