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

Ex. Solve and graph the solution.

a. -5 < x – 4 < 2

-5 < x – 4

Ex. Solve and graph the solution.

a. -5 < x – 4 < 2

-5 < x – 4 and x – 4 < 2

Ex. Solve and graph the solution.

a. -5 < x – 4 < 2

-5 < x – 4 and x – 4 < 2

+4 +4

Ex. Solve and graph the solution.

a. -5 < x – 4 < 2

-5 < x – 4 and x – 4 < 2

+4 +4

-1 < x

Ex. Solve and graph the solution.

a. -5 < x – 4 < 2

-5 < x – 4 and x – 4 < 2

+4 +4 +4 +4

-1 < x

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

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

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

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

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

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

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

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

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

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

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

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

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

0-1

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

0-1 6

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

0-1 6

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

0-1 6

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

0-1 6

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

0-1 6

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

0-1 6

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

0-1 6

b. -3h + 4 < 19 or 7h – 3 > 18

b. -3h + 4 < 19 or 7h – 3 > 18

- 4 - 4

b. -3h + 4 < 19 or 7h – 3 > 18

- 4 - 4

-3h < 15

b. -3h + 4 < 19 or 7h – 3 > 18

- 4 - 4

-3h < 15

-3 -3

b. -3h + 4 < 19 or 7h – 3 > 18

- 4 - 4

-3h < 15

-3 -3

h > -5

b. -3h + 4 < 19 or 7h – 3 > 18

- 4 - 4 +3 +3

-3h < 15

-3 -3

h > -5

b. -3h + 4 < 19 or 7h – 3 > 18

- 4 - 4 +3 +3

-3h < 15 or 7h > 21

-3 -3

h > -5

b. -3h + 4 < 19 or 7h – 3 > 18

- 4 - 4 +3 +3

-3h < 15 or 7h > 21

-3 -3 7 7

h > -5

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

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

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

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

0-5 3

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

0-5 3

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

0-5 3

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

0-5 3

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

0-5 3

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

0-5 3

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

0-5 3

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

0-5 3

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

0-5 3

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

0-5 3

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

0-5 3

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

0-5 3

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

0-5 3

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

0-5 3

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

0-5 3

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

0-5 3

0-4 4