Day 5 - Compound and Absolute Value Inequalities HW

ID: 1

Algebra II - Clark

Name___________________________________

Compound and Absolute Value Inequalities

Date________________ Period____

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Solve each compound inequality and graph its solution. 1) x − 4 ≥ 3 or 2 x ≤ −6 −6

−4

−2

0

2

2) a − 9 ≤ −18 or −5a < −50 4

6

8

10

−12

3) 13 < r + 9 ≤ 18 1

2

3

4

5

1

−4

0

4

8

12

4) 7 ≤ n + 6 ≤ 15 6

7

8

9

10

11

5) −5 x − 6 > −21 and −7 x + 6 ≤ −8 0

−8

2

3

−2 −1 0

1

2

3

4

5

6

7

8

9 10 11 12

6) −1 + 8 x ≤ −65 or 10 x + 1 > −19 4

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−10

-1-

−8

−6

−4

−2

0

2

Worksheet by Kuta Software LLC

Solve each inequality and graph its solution. 7) m − 10 ≤ 19 −10

−5

0

8) n − 4 < 5

5

10

15

20

25

30

−3 −2 −1 0

9) 3 p − 9 > 9 −10 −8

−6

8 + 4n

11)

4

−4

−8

−2

0

2

4

6

8

10

−4

3

4

5

6

7

8

9 10 11

−3

−2

−1

0

1

2

3

12) 1 + −1 + 4m ≥ 32

>3 −6

2

10) −5 9 x ≥ −90

−8 −10

1

−4

−2

0

2

−4

0

4

8

12

4

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-2-

Worksheet by Kuta Software LLC

ID: 1

Algebra II - Clark

Name___________________________________

Compound and Absolute Value Inequalities

Date________________ Period____

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Solve each compound inequality and graph its solution. 1) x − 4 ≥ 3 or 2 x ≤ −6 −6

−4

−2

0

2

2) a − 9 ≤ −18 or −5a < −50 4

6

8

10

−12

3) 13 < r + 9 ≤ 18 1

2

3

4

5

1

−4

0

4

8

12

4) 7 ≤ n + 6 ≤ 15 6

7

8

9

10

11

5) −5 x − 6 > −21 and −7 x + 6 ≤ −8 0

−8

2

3

−2 −1 0

1

2

3

4

5

6

7

8

9 10 11 12

6) −1 + 8 x ≤ −65 or 10 x + 1 > −19 4

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−10

-1-

−8

−6

−4

−2

0

2

Worksheet by Kuta Software LLC

Solve each inequality and graph its solution. 7) m − 10 ≤ 19 −10

−5

0

8) n − 4 < 5

5

10

15

20

25

30

−3 −2 −1 0

9) 3 p − 9 > 9 −10 −8

−6

8 + 4n

11)

4

−4

−8

−2

0

2

4

6

8

10

−4

3

4

5

6

7

8

9 10 11

−3

−2

−1

0

1

2

3

12) 1 + −1 + 4m ≥ 32

>3 −6

2

10) −5 9 x ≥ −90

−8 −10

1

−4

−2

0

2

−4

0

4

8

12

4

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Worksheet by Kuta Software LLC