Expert: Lynn Houston - 10/28/2008

Question
this place really shows my mistakes and helps me get the right answers thank you Lynn.

1. Solve: | 3 x + 2 | > 4

a.)x < -2 or x > 0.67   b.)x > 2 or x > 0.67

c.)x < -2 or x > 1      d.)x < 2 or x > -1


2. Solve: 8 = |  5 y + 2 |

a.)y = 2 or y = 1     b.)y = -6/5  or y = 2

c.)y = -2 or y = 6/5  d.)y = 2 or y = -1


3. Solve: |  1 - 0.5 p |  ≤ 2

a.)p ≤ 6 and p ≤ -2   b.)p ≤ 6 and p ≥ -2

c.)p ≥ 6 and p ≥ -2   d.)p ≥ 2 and p ≤ -6



4. Solve: | 3 r - 12 | > 0

a.)All real numbers except 4    b.)r < -4 or r > 4

c.)ø                           d.)r = 4



5. Solve: 1 > | 2 - 0.8 n |

a.)n < 3.75 and n > 1.25  b.)n < -3.75 and n > 1.25

c.)n > 3.75 and n < 1.25  d.)n > 3.75 and n > 1.25


6. Solve: | 2 t - 3 | + 2 = 5

a.)t = 2 or t = 0    b.)t = 2 or t = 3

c.)t = 0 or t = -3  d.)t = 0 or t = 3



7. Solve: 4 - | 3 k + 1 | < 2

a.)k < -1 or k > 2    b.)k < -1 or k > 0.33

c.)k > 1 or k > 0.33  d.)k > -1 or k < 0.33



8. Solve: 6 + 5 | 2 r - 3 | ≥ 4

a.)ø          b.)All real numbers

c.)r > 0.5     d.)r < 1.5



9. Solve:  2 | 2 t - 5 | all over 3 - 3 ≥ 4
  
a.)t ≤ -2.75 or t ≥ 7.75  b.)t ≥ 3.5 or t ≥ 8.5

c.)t ≤ -9 or t > 15       d.)t ≤ 3.5 or t ≥ -8.5



10. Solve: 3/5 + |15t| ≤ 45

a.)t ≥ -4 and t ≤ 4         b.) t ≥ -7 and t ≤ 7

c.)t ≥ -2.96 and t ≤ 2.96  d.) t ≥ -9.6 and t ≤ 9.7  

Answer
1. Solve: | 3 x + 2 | > 4
a.)x < -2 or x > 0.67

2. Solve: 8 = |  5 y + 2 |
c.)y = -2 or y = 6/5  

3. Solve: |  1 - 0.5 p |  ≤ 2
b.)p ≤ 6 and p ≥ -2

4. Solve: | 3 r - 12 | > 0
a.)All real numbers except 4

5. Solve: 1 > | 2 - 0.8 n |
d.)n > 3.75 and n > 1.25

6. Solve: | 2 t - 3 | + 2 = 5
d.)t = 0 or t = 3

7. Solve: 4 - | 3 k + 1 | < 2
b.)k < -1 or k > 0.33

8. Solve: 6 + 5 | 2 r - 3 | ≥ 4
b.)All real numbers

9. Solve:  2 | 2 t - 5 | all over 3 - 3 ≥ 4
a.)t ≤ -2.75 or t ≥ 7.75  

10. Solve: 3/5 + |15t| ≤ 45
c.)t ≥ -2.96 and t ≤ 2.96