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1.
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Which inequality represents the following statement?
“Nine is greater
than or equal to twice a number minus 3.”
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2.
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Write an inequality that represents the graph. 
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3.
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An essay must be more than 600 words long to be accepted. Define a variable and
write an inequality for the acceptable number of words in an essay.
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4.
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During a sale, customers receive an extra discount if they spend $100 or more.
So far, Carla’s purchases total $35. Which inequality can be solved to show how many more
dollars d she must spend to receive the extra discount?
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5.
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Solve the inequality and graph the solution. 
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6.
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Jenny earned $600 during winter vacation. She needs to save $450 for a vacation
over spring break. She can spend the remainder of the money on music. Write an inequality to show how
much she can spend on music. Then, graph the inequality.
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7.
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Mrs. Boyer is buying folding chairs that are on sale for $8. She has $56. Which
inequality can be solved to show the number of chairs c Mrs. Smith can buy?
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8.
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Solve  .
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9.
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What is the greatest possible integer solution of the inequality  ?
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10.
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Solve  .
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11.
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Serena is considering accepting one of two sales positions. ABC Company offers a
yearly salary of $52,000. XYZ Company offers a yearly salary of $40,000 plus a 4% annual commission
on sales. For what amount of sales s is the compensation at XYZ Company greater than the
salary at ABC Company?
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12.
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National Cellular charges a $7.50 flat fee for a text messaging plan and $0.05
per text. Worldwide Wireless doesn’t charge a flat fee, but it charges $0.20 per text. Which
inequality and solution represent the number t of texts for which Worldwide Wireless is
cheaper than National Cellular?
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13.
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Which of the following is a solution of  and  ?
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14.
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Solve the compound inequality. 
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15.
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Solve the compound inequality.  or
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16.
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Solve the compound inequality. Graph the solution. 
and  a. | s < 1 or s ³ 4
 | b. | 1 £ s <
4
 | c. | 1 < s £
4
 | d. | s £ 1 or s > 4
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17.
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Fly with Us owns a DC-10 airplane that can seat 300 passengers. The company
flies this airplane only if there are at least 150 passengers on the plane. Write a compound
inequality to show the possible number of passengers on a Fly with Us DC-10 flight. Let n
represent the possible number of passengers on the flight. Graph the solution.
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18.
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Solve the inequality. Graph the solution. 
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19.
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The length of any side of a triangle is less than the sum of the lengths of the
other two sides of the triangle. If three side lengths do not satisfy this requirement, then a
triangle cannot be formed from them.  a. Given the triangle above, use the
restriction on side lengths to write three inequalities. Solve all three inequalities for  . b. What values of  will satisfy
the inequalities you found in part (a)? Explain how you know. c.
Give an example of one set of possible side lengths for the triangle above.
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20.
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Machine parts must be specific sizes so that they fit perfectly within a
machine. A certain machine part has a diameter of 15.68 cm with an absolute deviation of at most 0.18
cm.
Part A: Write an absolute value inequality that can be solved to find the least
and greatest acceptable diameters of a machine part. Then find the least and greatest acceptable
diameters.
Part B: A machine part like the one described has a diameter of 15.93
centimeters. By how many centimeters does this part's diameter exceed the greatest acceptable
diameter?
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