Exercises Set 1.2 p. 112
Answer each of these questions for each of the exercises 1 – 12 and 17 - 25. (Some are listed below for
your convenience)
A. What is the solution set of the equation?
a. Name this solution set A.
B. Sketch the graph of the equation.
C. What are the two corresponding inequalities?
D. What is the solution set for the “greater than” inequality?
a. Name this solution set B.
b. Write the solution set using interval notation.
c. Write the solution set using set builder notation.
d. Sketch the graph of the “greater than” inequality.
E. What is the solution set for the “less than” inequality?
a. Name this solution set C.
b. Write the solution set using interval notation.
c. Write the solution set using set builder notation.
d. Sketch the graph of the “less than” inequality.
F. Sketch the graphs of the equation and the two corresponding inequalities on the same real number
line.
G. What is A B ?
H. What is A C ?
I. What is B C ?
J. What is A B C ?
Equations to Consider:
1. 7x – 5 = 72
2. 6x – 3 = 63
3. 11x – (6x – 5) = 40
4. 5x – (2x – 10) = 35
5. 2x – 7 = 6 + x
6. 3x + 5 = 2x + 13
7. 7x + 4 = x + 16
8. 13x + 14 = 12x – 5
17. x 
3
18. x 
5
x 2
2
x 1
6
19. 20  x  x
3 2
x
1
20.   x
5 2 6
21. 3x  2x  1
5
3
22. x  3x  5
2 4
23. 3x  x  x  5
5
10 2
2x
 x  17
24. 2x 
7 2 2
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Exercises Set 1.7 p. 185
Answer each of these questions for each of the exercises 27-58. (Some are listed below for your
convenience)
A. What is the boundary equation?
B. What is the solution set for the boundary equation
a. Name this solution set A.
C. Sketch the graph of the boundary equation.
D. What is the solution set for the “given” inequality?
a. Name this solution set B.
b. Write the solution set using interval notation.
c. Write the solution set using set builder notation.
d. Sketch the graph of the “given” inequality.
E. What is the other corresponding inequality?
F. What is the solution set for this inequality?
a. Name this solution set C.
b. Write the solution set using interval notation.
c. Write the solution set using set builder notation.
d. Sketch the graph of this inequality.
G. Sketch the graphs of the equation and the two corresponding inequalities on the same real number
line.
H. What is A B ?
I. What is A C ?
J. What is B C ?
K. What is A B C ?
Inequalities to Consider:
27. 5x + 11 < 26
28. 2x + 5 < 17
29. 3x – 7  13
30. 8x – 2  14
31. –9x  36
32. –5x  30
33. 8x – 11  3x – 13
34. 18x + 45  12x – 8
35. 4(x + 1) + 2  3x + 6
36. 8x + 3 > 3(2x + 1) + x + 5
37. 2x – 11 < –3(x + 2)
38. –4(x + 2) > 3x + 20
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41. x  3  x  1
4 2 2
42. 3x  1  1  x
10
5 10
x
43. 1   4
2
44. 7  4 x  3
5
5