Intermediate Algebra (11th edition)

Solve each compound inequality. Give the solution set in both interval and graph form.

51. and 52. and


52. or 54. or


53. and 56. or

Express each union or intersection in simplest interval form.

2.7 Solve each absolute value equation.

61. 62.

63. 64.

65. 66.

67. 68.

Solve each absolute value inequality. Give the solution set in interval form.

69. 
    
    
    
    70. 71.| 2 x+ 5 |... 1 72.|x+ 1 |Ú- 3
    
    
    
    

|x| 614 |-x+ 6 |... 7

| 3 x+ 1 |=|x+ 2 | | 2 x- 1 |=| 2 x+ 3 |

| 2 x- 7 |+ 4 = 11 | 4 x+ 2 |- 7 =- 3

| 3 x- 7 |= 8 |x- 4 |=- 12

|x|= 7 |x+ 2 |= 9

1 4, q 2 ́ 1 9, q 2 1 1, 2 2 ́ 1 1, q 2

1 - 3, q 2 ̈ 1 - q, 4 2 1 - q, 6 2 ̈ 1 - q, 2 2

x- 476 x+ 3 ... 10 - 5 x+ 1 Ú 11 3 x+ 5 Ú 26

x 75 x...- 3 xÚ- 2 x 62

x 76 x 69 x+ 4712 x- 2612

130 CHAPTER 2 Linear Equations, Inequalities, and Applications

Solve.

73. 
    
    
    
    74. for k
    
    
    
    


74. and 76.


75. 
    
    
    
    78. 79.A newspaper recycling collection bin is in the shape of a box 1.5 ft wide and 5 ft long.
        If the volume of the bin is find the height.
        80.The sum of the first and third of three consecutive integers is 47 more than the second
        integer. What are the integers?
    
    
    
    


76. 
    
    
    
    82. 
        
    
    
    
    


77. 
    
    
    
    84. 
        
    
    
    
    


78. 
    
    
    
    86. 87.The complement of an angle measures 10° less than one-fifth of its supplement. Find
        the measure of the angle.
        88.To qualify for a company pension plan, an employee must average at least $1000 per
        month in earnings. During the first four months of the year, an employee made $900,
        $1200, $1040, and $760. What possible amounts earned during the fifth month will
        qualify the employee?
    
    
    
    


79. 
    
    
    
    90. or
        91.How many liters of a 20% solution of a chemical should be mixed with 10 L of a
        50% solution to get a 40% mixture?
    
    
    
    


80. 
    
    
    
    93. 94.|x+ 3 |... 1
    
    
    
    

3 x

5

-

x

2

|x- 1 |=| 2 x+ 3 | = 3

| 5 x- 1 | 714 xÚ- 2 x 64

• 463 - 2 x 69 - 0.3x+2.1 1 x- 42 ...-6.6

3

4

1 x- 22 -

1

3

|x+ 3 |... 13 15 - 2 x 2 6- 2

| 3 x+ 2 |+ 4 = 9 0.05x+0.03 11200 - x 2 = 42

75 ft^3 ,

| 3 x+ 6 |Ú 0 - 5 xÚ- 10

4 x+ 2

4

+

3 x- 1

8

=

x+ 6

16

x 63 xÚ- 2

5 - 16 - 4 x 272 x- 5 ak+bt= 6 r

MIXED REVIEW EXERCISES