WS Compound Inequalities - Enrichment

Algebra 1

Name___________________________________

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WS Compound Inequalities - Enrichment

Solve each compound inequality and graph its solution.

1) 16 -4v 36

2) v + 4 < -3 or v + 6 9

-12 -10

-8

-6

-4

-2

0

-10 -8 -6 -4 -2 0 2 4 6 8

p 3) -2 p 16 or < -2

5

-14 -12 -10

-8

-6

-4

b 4) -1 0

8

-10

-8

-6

-4

-2

0

5) -7b - 9 40 or 5b - 2 -32

-10

-8

-6

-4

-2

0

6) 2 - 2m -8 or 9m + 5 < -49

-8 -6 -4 -2 0 2 4 6 8 10

-1-

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Worksheet by Kuta Software LLC

7) -13 < 3b + 8 < 2

-12 -10

-8

-6

-4

-2

8) 10 - 7 p < -9 p - 6 9 - 8 p

-16 -14 -12 -10

-8

-6

9) Nine less than a number is no more than 8 or is no less than 3. What are the numbers?

10) Nate has scores 85, 71, 82, and 90 on his Algebra tests. Use a compound inequality to find the range of scores she can make on her final exam to receive a B in the course. A 'B' is received if the final course average is from 83 to 87.

-2-

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Worksheet by Kuta Software LLC

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