Solving Regular and Compound Inequalities

Algebra 2

Name___________________________________ ID: 1

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Solving Regular and Compound Inequalities

Date________________ Period____

Solve each inequality and graph its solution. 1) 8 + 4n £ 8(1 - 5n) -5

-4

-3

-2

-1

0

1

2) -3(n + 8) < 12 + 6n 2

3

4

5

-10

3) -3 p - 7 £ 3 + 3 p + 2 -9

-8

-7

-6

-5

-4

-3

-2

-8

-6

-4

-2

0

4) a - 1 £ -1 + a -1

0

1

-8

-7

-6

-5

-4

-3

-2

-1

0

1

2

Solve each compound inequality and graph its solution. 5) b - 3 £ -9 or b + 4 > 4 -10

7)

-8

-6

-4

-2

6) b + 6 < 9 and 6b ³ 0 0

2

r r ³ 1 or < 0 8 8

-3 -2 -1

0

1

2

3

4

5

6

7

8

9

2

3

4

5

8) m - 9 > -8 or m + 5 £ 1 -7 -6 -5 -4 -3 -2 -1

0

1

-3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13

Worksheet by Kuta Software LLC

-1-

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Solve each equation. n =3 6

9)

10) 5 - 6 p + 9 = -67

Solve each inequality and graph its solution. 11) -6 + m + 5 £ 7 0

13)

1

2

3

4

5

6

12) -7 n + 4 ³ -14 7

8

9

10 11 12

x+8 >5 4 -30 -25 -20 -15 -10

-10

14) -2 -5

0

5

10

-8

-4

-2

0

2

x £ -7 2

-10 -8

15

-6

-6

-4

-2

0

2

4

6

8

10

Worksheet by Kuta Software LLC

-2-

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Answers to Solving Regular and Compound Inequalities (ID: 1) 1) n £ 0 :

2) n > -4 : -4

-2

0

2

4

-10

-8

-6

-4

-2

0

4) { All real numbers. } :

3) p ³ -2 : -8

-6

-4

-2

-5

0

0

5) b £ -6 or b > 0 : -10

-8

-6

-4

-2

0

2

6) 0 £ b < 3 : -3 -2 -1 0

1

2

3

4

5

6

7

8

9

7) r ³ 8 or r < 0 : -2

0

2

4

6

8

10

12

8) m > 1 or m £ -4 : -7 -6 -5 -4 -3 -2 -1 0

9) {18, -18} 11) 4 £ m £ 8 :

1

2

3

4

5

10) {3, -21} 0

1

2

3

4

5

6

7

8

9 10 11 12

12) -6 £ n £ -2 : -10

-8

-6

-4

-2

0

2

13) x > 12 or x < -28 : -30 -25 -20 -15 -10 -5

0

5

10

15

14) x ³ 7 or x £ -7 : -8

-4

0

4

8

Worksheet by Kuta Software LLC

-3-

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