Practice and Problem-Solving Exercises

A Practice

See Problem 1.

Write an inequality that represents each verbal expression.

8. v is greater than or equal to 5.
9. b is less than 4.
10. 3 less than g is less than or equal to 17.
11. The quotient of k and 9 is greater than 1 3 . 1 third , .

See Problem 2.

Determine whether each number is a solution of the given inequality.

12. 3 y − 8 > 22 3 y minus 8 greater than 22
    1. 2
    2. 0
    3. 5
13. 8 m − 6 ≤ 10 8 m minus 6 less than or equal to 10
    1. 2
    2. 3
    3. − 1 negative 1
14. 4 x + 2 < − 6 4 x plus 2 less than negative 6
    1. 0
    2. − 2 negative 2
    3. 1
15. 6 − n n ≥ 11 fraction 6 minus n , over n end fraction . greater than or equal to 11
    1. 0.5
    2. 2
    3. 4
16. m ( m − 3 ) < 54 m open m minus 3 close less than 54
    1. − 10 negative 10
    2. 0
    3. 9

See Problem 3.

Match each inequality with its graph.

Graph each inequality.

21. y > 2 y greater than 2
22. t < − 4 t less than negative 4
23. z ≤ − 5 z less than or equal to negative 5
24. v ≥ − 2 v greater than or equal to negative 2
25. − 3 < f negative 3 less than f
26. − 9 4 ≤ c negative , 9 fourths , less than or equal to c
27. 8 ≥ b 8 greater than or equal to b
28. 5.75 > d 5.75 , greater than d

See Problem 4.

Write an inequality for each graph.

See Problem 5.

Define a variable and write an inequality to model each situation.

35. The restaurant can seat at most 172 people.
36. A person must be at least 35 years old to be elected President of the United States.
37. A light bulb can be no more than 75 watts to be safely used in this light fixture.
38. At least 475 students attended the orchestra concert Thursday night.
39. A law clerk has earned more than $20,000 since being hired.

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