60. Open-Ended Write an inequality that can be solved by dividing by a negative number and has the solution x < 1 3 . x less than , 1 third , .
61. Patterns Consider the pattern of inequalities x 2 < 10 , x 3 < 10 , x 4 < 10 , … . x over 2 , less than 10 comma , x over 3 , less than 10 comma , x over 4 , less than 10 comma dot dot dot .  Suppose a real number a is a solution of a certain inequality in the pattern. What other inequalities in the pattern do you know have a as a solution? Explain.
62. Reasoning If a x ≤ a y eh x less than or equal to eh y  and a y ≤ a z ,  is  x ≤ z ? eh y less than or equal to eh z comma , is , x less than or equal to z question mark  Explain.

C Challenge

63. Construction A contractor is building a rectangular walkway 3 1 3 3 , and 1 third  ft wide by 35 ft long using square cement pavers. Each paver has an area of 4 9 ft 2 . 4 ninths . ft squared , .  What is the least number of pavers he needs to make the walkway?
64. Basketball A company sells men's basketballs with a circumference of 29.5 in. They also sell youth basketballs with a circumference of 27.75 in. The company has cube-shaped packaging boxes with edges that are either 8 in., 9 in., or 10 in. long. What is the smallest box in which each ball can be packaged?

Standardized Test Prep

SAT/ACT

65. The mayor of Renee's town chose 160 students from her school to attend a city debate. This amount is no more than 1 4 1 fourth  of the students in Renee's school. What is the least possible number of students that attend Renee's school?
    1. 40
    2. 160
    3. 320
    4. 640
66. An art teacher has a box of 100 markers. The teacher gives 7 markers to each student in the class and has 16 markers left over. How many students are in the class?
    6. 11
    7. 12
    8. 13
    9. 14

Short Response

67. The width of a rectangle is 3 in. shorter than the length. The perimeter of the rectangle is 18 in. What is the length of the rectangle? Show your work.

Mixed Review

See Lesson 3-2.

Solve each inequality.

68. x + 5 ≤ − 6 x plus 5 less than or equal to negative 6
69. y − 4.7 ≥ 8.9 y minus 4.7 greater than or equal to 8.9
70. q − 5 < 0 q minus 5 less than 0
71. 1 2 > 3 4 + c 1 half , greater than , 3 fourths , plus c
72. − 2 3 < b + 1 3 negative , 2 thirds , less than b plus , 1 third
73. y − 21 ≤ 54 y minus 21 less than or equal to 54

Get Ready! To prepare for Lesson 3-4, do Exercises 74–76.

See Lesson 2-3.

Solve each equation.

74. − x + 8 + 4 x = 14 negative x plus 8 plus 4 x equals 14
75. − 6 ( 2 y + 2 ) = 12 negative 6 open 2 y plus 2 close equals 12
76. 0.5 t + 3.5 − 2.5 t = 1.5 t 0.5 t plus 3.5 minus 2.5 t equals 1.5 t

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