Expert: Richard J. Raridon - 6/17/2011

Question
1.   Solve:
|    3    x    +    2    |    >    4
  
2.   Solve:
8    =    |    5    y    +    2    |
        

3.   Solve:
|    1    -    0.5    p    |    ≤    2
  
4.   Solve:

|    3    r    -    12    |    >    0
  
5.   Solve:
1    >    |    2    -    0.8    n    |
  
6.   Solve:
|    2    t    -    3    |    +    2    =    5
  
7.   Solve:
4    -    |    3    k    +    1    |    <    2
  
8.   Solve:
6    +    5    |    2    r    -    3    |    ≥    4
  
9.   Solve:
2    |    2    t    -    5    |    -    3    ≥    4
        3       
  
10.   Solve:

3/5 + |15t| ≤ 45
  
11.   Solve:

2 |9t-3| + 4t ≤ 12
  
solve
12.   Solve:
|    0.25    y    +    1    |    =    0.5
solve   
13.   Solve:
|    3    k    -    2    |    <    4
solve   
14.   Solve:
|    0.25    y    +    5    |    >    -0.75
solve   
15.   Solve:  
7    -    |    3    y    -    2    |    ≤     1
solve   
16.   Solve:
|    4    +    2    y    |    ≥    -3
solve    
17.   Solve:  
|    1    -    0.3    x    |    ≥    -3
solve   
18.   Solve:
|    1.2    -    0.4    x    |    <    2
solve   
19.   Find three consecutive even integers such that the sum of the first two is greater than 27 and the sum of the last two is less than 39.
solve
20.   An oak tree is 6 times as old as a pine tree and an elm tree is 6 years younger than the oak tree.  In 3 years, the age of the elm will be 3 times the age of the pine.  How old is the oak tree now?
solve   
21.   The ratio of the present ages of two museums is 3 to 5.  Twelve years ago, the sum of their ages was less than 56 years.  Find the possibilities for the present age of the younger museum.
solve   
22.   Cities A and B are located on an east-west highway at a distance of 244 mi from each other.  A truck left City A at 8:00 A.M. driving 47 mi/h toward City B.  A car left City B at 10:00 A.M. traveling 53 mi/h toward City A.  At what time did the car pass the truck?
solve    
23.   Find the solution set of the inequality:
|    2    y    -    3    |    <    11
solve    
24.   Find the solution set of the inequality:  
|    4    t    +    6    |    ≤    14
solve   
25.   Find the solution set for the inequality:
14    >    |    4    z    -    2    |
  
solve   
26.   Find the solution set for the inequality:
|    n    -    2    |    ≤    5
solve      
27.   Solve the equation:
|    7.5    -    5    n    |    =    2.5
solve   
28.   A rectangle is 3 times as wide as a square.  The rectangle's length is 15 ft shorter than 5 times the square's length.  Given that the sum of the two perimeters must be less than 150 ft, find the set of all possible lengths for the rectangle.
  
solve   
29.   Mr. McTier invests $600 at 9% per year, and $800 at 12% per year.  During what time period will the $1,400 earn between $525 and $975, inclusive, in simple interest?
solve    
30.   A rectangle's length is 12 in. less than 3 times its width.  Find the set of all the possible widths given that the perimeter must be less than 48 in.

Answer
1. x > 2/3 or x < -2
2. y = 6/5 or y = -2
3. p >= -2 or p <= 6
4. any no. but 4
5. n > 1.25 or n < 3.75
6. t = 0 or t = 3
7. k < -1 or k > 1/3
19. 14,16,18 or 16,18,20
20. Oak = 24, Pine = 4, Elm = 18
21. 12 < M1 < 21
22. 3.5 hours
28. If length greater then width then length = 25
30. 4 < W < 9