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5.4 – Solving Compound Inequalities

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5.4 – Solving Compound Inequalities. Ex. Solve and graph the solution. Ex. Solve and graph the solution. a. -5 < x – 4 < 2. Ex. Solve and graph the solution. a. -5 < x – 4 < 2. Ex. Solve and graph the solution. a. -5 < x – 4 < 2 -5 < x – 4.

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slide5
Ex. Solve and graph the solution.

a. -5 < x – 4 < 2

-5 < x – 4

slide6
Ex. Solve and graph the solution.

a. -5 < x – 4 < 2

-5 < x – 4

slide7
Ex. Solve and graph the solution.

a. -5 < x – 4 < 2

-5 < x – 4 and x – 4 < 2

slide8
Ex. Solve and graph the solution.

a. -5 < x – 4 < 2

-5 < x – 4 and x – 4 < 2

+4 +4

slide9
Ex. Solve and graph the solution.

a. -5 < x – 4 < 2

-5 < x – 4 and x – 4 < 2

+4 +4

-1 < x

slide10
Ex. Solve and graph the solution.

a. -5 < x – 4 < 2

-5 < x – 4 and x – 4 < 2

+4 +4 +4 +4

-1 < x

slide11
Ex. Solve and graph the solution.

a. -5 < x – 4 < 2

-5 < x – 4 and x – 4 < 2

+4 +4 +4 +4

-1 < x and x < 6

slide12
Ex. Solve and graph the solution.

a. -5 < x – 4 < 2

-5 < x – 4 and x – 4 < 2

+4 +4 +4 +4

-1 < x and x < 6

slide13
Ex. Solve and graph the solution.

a. -5 < x – 4 < 2

-5 < x – 4 and x – 4 < 2

+4 +4 +4 +4

-1 < x and x < 6

-1 < x

slide14
Ex. Solve and graph the solution.

a. -5 < x – 4 < 2

-5 < x – 4 and x – 4 < 2

+4 +4 +4 +4

-1 < x and x < 6

-1 < x

slide15
Ex. Solve and graph the solution.

a. -5 < x – 4 < 2

-5 < x – 4 and x – 4 < 2

+4 +4 +4 +4

-1 < x and x < 6

-1 < x < 6

slide16
Ex. Solve and graph the solution.

a. -5 < x – 4 < 2

-5 < x – 4 and x – 4 < 2

+4 +4 +4 +4

-1 < x and x < 6

-1 < x < 6

slide17
Ex. Solve and graph the solution.

a. -5 < x – 4 < 2

-5 < x – 4 and x – 4 < 2

+4 +4 +4 +4

-1 < x and x < 6

-1 < x < 6

slide18
Ex. Solve and graph the solution.

a. -5 < x – 4 < 2

-5 < x – 4 and x – 4 < 2

+4 +4 +4 +4

-1 < x and x < 6

-1 < x < 6

slide19
Ex. Solve and graph the solution.

a. -5 < x – 4 < 2

-5 < x – 4 and x – 4 < 2

+4 +4 +4 +4

-1 < x and x < 6

-1 < x < 6

slide20
Ex. Solve and graph the solution.

a. -5 < x – 4 < 2

-5 < x – 4 and x – 4 < 2

+4 +4 +4 +4

-1 < x and x < 6

-1 < x < 6

slide21
Ex. Solve and graph the solution.

a. -5 < x – 4 < 2

-5 < x – 4 and x – 4 < 2

+4 +4 +4 +4

-1 < x and x < 6

-1 < x < 6

slide22
Ex. Solve and graph the solution.

a. -5 < x – 4 < 2

-5 < x – 4 and x – 4 < 2

+4 +4 +4 +4

-1 < x and x < 6

-1 < x < 6

0

slide23
Ex. Solve and graph the solution.

a. -5 < x – 4 < 2

-5 < x – 4 and x – 4 < 2

+4 +4 +4 +4

-1 < x and x < 6

-1 < x < 6

-1

0

slide24
Ex. Solve and graph the solution.

a. -5 < x – 4 < 2

-5 < x – 4 and x – 4 < 2

+4 +4 +4 +4

-1 < x and x < 6

-1 < x < 6

-1

0

6

slide25
Ex. Solve and graph the solution.

a. -5 < x – 4 < 2

-5 < x – 4 and x – 4 < 2

+4 +4 +4 +4

-1 < x and x < 6

-1 <x < 6

-1

0

6

slide26
Ex. Solve and graph the solution.

a. -5 < x – 4 < 2

-5 < x – 4 and x – 4 < 2

+4 +4 +4 +4

-1 < x and x < 6

-1 <x < 6

-1

0

6

slide27
Ex. Solve and graph the solution.

a. -5 < x – 4 < 2

-5 < x – 4 and x – 4 < 2

+4 +4 +4 +4

-1 < x and x < 6

-1 < x< 6

-1

0

6

slide28
Ex. Solve and graph the solution.

a. -5 < x – 4 < 2

-5 < x – 4 and x – 4 < 2

+4 +4 +4 +4

-1 < x and x < 6

-1 < x< 6

-1

0

6

slide29
Ex. Solve and graph the solution.

a. -5 < x – 4 < 2

-5 < x – 4 and x – 4 < 2

+4 +4 +4 +4

-1 < x and x < 6

-1 < x < 6

-1

0

6

slide30
Ex. Solve and graph the solution.

a. -5 < x – 4 < 2

-5 < x – 4 and x – 4 < 2

+4 +4 +4 +4

-1 < x and x < 6

-1 < x < 6

-1

0

6

slide34
b. -3h + 4 < 19 or 7h – 3 > 18

- 4 - 4

-3h < 15

-3 -3

slide35
b. -3h + 4 < 19 or 7h – 3 > 18

- 4 - 4

-3h < 15

-3 -3

h > -5

slide36
b. -3h + 4 < 19 or 7h – 3 > 18

- 4 - 4 +3 +3

-3h < 15

-3 -3

h > -5

slide37
b. -3h + 4 < 19 or 7h – 3 > 18

- 4 - 4 +3 +3

-3h < 15 or 7h > 21

-3 -3

h > -5

slide38
b. -3h + 4 < 19 or 7h – 3 > 18

- 4 - 4 +3 +3

-3h < 15 or 7h > 21

-3 -3 7 7

h > -5

slide39
b. -3h + 4 < 19 or 7h – 3 > 18

- 4 - 4 +3 +3

-3h < 15 or 7h > 21

-3 -3 7 7

h > -5 or h > 3

slide40
b. -3h + 4 < 19 or 7h – 3 > 18

- 4 - 4 +3 +3

-3h < 15 or 7h > 21

-3 -3 7 7

h > -5 or h > 3

slide41
b. -3h + 4 < 19 or 7h – 3 > 18

- 4 - 4 +3 +3

-3h < 15 or 7h > 21

-3 -3 7 7

h > -5 or h > 3

0

slide42
b. -3h + 4 < 19 or 7h – 3 > 18

- 4 - 4 +3 +3

-3h < 15 or 7h > 21

-3 -3 7 7

h > -5 or h > 3

-5

0

3

slide43
b. -3h + 4 < 19 or 7h – 3 > 18

- 4 - 4 +3 +3

-3h < 15 or 7h > 21

-3 -3 7 7

h> -5 or h > 3

-5

0

3

slide44
b. -3h + 4 < 19 or 7h – 3 > 18

- 4 - 4 +3 +3

-3h < 15 or 7h > 21

-3 -3 7 7

h > -5 or h > 3

-5

0

3

slide45
b. -3h + 4 < 19 or 7h – 3 > 18

- 4 - 4 +3 +3

-3h < 15 or 7h > 21

-3 -3 7 7

h > -5 or h> 3

-5

0

3

slide46
b. -3h + 4 < 19 or 7h – 3 > 18

- 4 - 4 +3 +3

-3h < 15 or 7h > 21

-3 -3 7 7

h > -5 or h > 3

-5

0

3

slide47
b. -3h + 4 < 19 or 7h – 3 > 18

- 4 - 4 +3 +3

-3h < 15 or 7h > 21

-3 -3 7 7

h> -5 or h > 3

-5

0

3

slide48
b. -3h + 4 < 19 or 7h – 3 > 18

- 4 - 4 +3 +3

-3h < 15 or 7h > 21

-3 -3 7 7

h > -5 or h > 3

-5

0

3

slide49
b. -3h + 4 < 19 or 7h – 3 > 18

- 4 - 4 +3 +3

-3h < 15 or 7h > 21

-3 -3 7 7

h > -5 or h> 3

-5

0

3

slide50
b. -3h + 4 < 19 or 7h – 3 > 18

- 4 - 4 +3 +3

-3h < 15 or 7h > 21

-3 -3 7 7

h > -5 or h > 3

-5

0

3

slide51
b. -3h + 4 < 19 or 7h – 3 > 18

- 4 - 4 +3 +3

-3h < 15 or 7h > 21

-3 -3 7 7

h> -5 or h > 3

-5

0

3

slide52
b. -3h + 4 < 19 or 7h – 3 > 18

- 4 - 4 +3 +3

-3h < 15 or 7h > 21

-3 -3 7 7

h > -5 or h > 3

-5

0

3

slide53
b. -3h + 4 < 19 or 7h – 3 > 18

- 4 - 4 +3 +3

-3h < 15 or 7h > 21

-3 -3 7 7

h > -5 or h > 3

c. 1 + x< -3 or -x< -4

-5

0

3

slide54
b. -3h + 4 < 19 or 7h – 3 > 18

- 4 - 4 +3 +3

-3h < 15 or 7h > 21

-3 -3 7 7

h > -5 or h > 3

c. 1 + x< -3 or -x< -4

-1 -1

-5

0

3

slide55
b. -3h + 4 < 19 or 7h – 3 > 18

- 4 - 4 +3 +3

-3h < 15 or 7h > 21

-3 -3 7 7

h > -5 or h > 3

c. 1 + x< -3 or -x< -4

-1 -1

x< -4 or x> 4

-5

0

3

slide56
b. -3h + 4 < 19 or 7h – 3 > 18

- 4 - 4 +3 +3

-3h < 15 or 7h > 21

-3 -3 7 7

h > -5 or h > 3

c. 1 + x< -3 or -x< -4

-1 -1

x< -4 or x> 4

-5

0

3

slide57
b. -3h + 4 < 19 or 7h – 3 > 18

- 4 - 4 +3 +3

-3h < 15 or 7h > 21

-3 -3 7 7

h > -5 or h > 3

c. 1 + x< -3 or -x< -4

-1 -1

x< -4 or x> 4

-5

0

3

-4

0

4

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