A)
B)
C)
D)
For the compound inequality, give the solution set in both interval and graph forms.
81)
4x > 4 and x + 5 < 5
81)
A)
[–1, 0]
B)
[–1, 0)
C)
(–1, 0]
D)
Let A = {q, s, u, v, w, x, y, z}, B = {q, s, y, z}, C = {v, w, x, y, z}, and D = {s}. Specify the following set.
82)
C
D
82)
A)
B)
{q, w, y}
C)
{q, y, z}
D)
{q, s, u, w, y, z}
A
Express the set in the simplest interval form.
83)
(–, 2)
(–2, )
83)
A)
[–2, 2)
B)
(–2, 2)
C)
(–, –2]
D)
(–, )
B
Graph the linear inequality in two variables.
42
D
84)
y 2x
84)
A)
B)
C)
D)
Find the indicated intersection or union.
85)
Let A = {2, 5, 14, 19} and B ={5, 19, 23, 25}. Write the set A B.
85)
A)
{5, 19}
B)
{2, 5, 14, 19, 23, 25}
C)
{5, 19, 23}
D)
{2, 5, 19, 23}
Solve the inequality. Give the solution set in both interval and graph forms.
86)
–5(5x + 4) < – 30x– 15
86)
A)
(1, )
B)
(–, –30)
C)
(–30, )
D)
(–, 1)
D
44
B
Solve the compound inequality. Give the solution set in both interval and graph form.
87)
–3x –9 or 6x – 4 <2x
87)
A)
[1, 3)
B)
C)
(1, 3]
D)
(–, 1) [3, )
For the compound inequality, decide whether intersection or union should be used. Then give the solution set in both
interval and graph forms.
88)
3x +2–16 or 3x –9
88)
A)
Union; (–, )
B)
Intersection; [–6, –3]
C)
Intersection;
D)
Union; (–, –6] [–3, )
45
For the compound inequality, give the solution set in both interval and graph forms.
89)
4x – 10 18 and 2x – 1 13
89)
A)
[7, )
B)
(7, )
C)
{7}
D)
(–, 7)
Solve the equation or inequality.
90)
z – 2
0
90)
A)
B)
(–, 2) (2, )
C)
[2, –2]
D)
(–, )
Solve the equation.
91)
x=9
91)
A)
{81}
B)
{–9}
C)
{9}
D)
{9, –9}
Solve the inequality and graph the solution set.
92)
|z – 7| 0
92)
A)
B)
[7, –7]
C)
(–, )
D)
[7, )
Answer the question.
93)
If k < 0, what is the solution set of 3f + 3 > k?
93)
A)
–k + 3
3, k + 3
3
B)
{0}
C)
D)
( , )
Provide an appropriate response.
94)
Give an equation or inequality that states the distance between 3x and 9 is less than 5.
94)
A)
3x – 9 < 5
B)
|3x – 9| > 5
C)
|3x + 9| > – 5
D)
|3x – 9| < 5
Solve the given equation or inequality. If an equation is given, then write the solution set in set notation. If an inequality
is given, then write the solution set in interval notation.
95)
|h – 6| + 2 10
95)
A)
B)
(–2,14)
C)
[–2,14]
D)
[–2,10]
Solve the equation.
96)
t – 2 = 0
96)
A)
{2}
B)
(–, –2] [2, )
C)
{–2}
D)
Let A = {q, s, u, v, w, x, y, z}, B = {q, s, y, z}, C = {v, w, x, y, z}, and D = {s}. Specify the following set.
97)
C D
97)
A)
{s, v, w, x, y, z}
B)
{w, y, z}
C)
{w, y}
D)
{s, u, w, y, z}
Graph the linear inequality in two variables.
98)
x 6
98)
48
A)
B)
C)
D)
The boundary of the graph of the linear inequality will be a _____ line, and the shading will be _____ the line. Fill in the
first blank with either solid or dashed. Fill in the second blank with above or below.
99)
y < x +3
2
99)
A)
dashed; below
B)
solid; below
C)
dashed; above
D)
solid; above
49
Solve the inequality and graph the solution set.
100)
9– x 2
100)
A)
[7, 11]
B)
[7, )
C)
[11, )
D)
(–, 7] [11, )
For the compound inequality, decide whether intersection or union should be used. Then give the solution set in both
interval and graph forms.
101)
x –5 and x < – 2
101)
A)
Union; (–, –2)
B)
Intersection; (–, –5]
C)
Intersection; [–5, –2)
D)
Union; (–, )
Provide an appropriate response.
102)
Give the number of solutions for ax + b > k if k < 0.
102)
A)
2
B)
An infinite number
C)
0
D)
1
Graph the solution set of the inequality or system of inequalities.
103)
2x +5y > – 1
103)
A)
B)
C)
D)
B
B
C)
D)
Solve the absolute value equation or inequality. Give the solution set in interval form.
104)
6x + 4 <4
104)
A)
–, –4
30,
B)
(–, 6)
C)
–4
3, 0
D)
–, –4
3
Each of six decorators has to paint a room (walls only) and put a wallpaper border around the room at the ceiling. One
gallon of paint covers 400 sq ft, and one roll of border contains five yards. Each decorator has one gallon of paint and
three rolls of border.
105)
The list gives the name of each decorator and the size of the room.
Mary
Sam
Yong Sun
Ajay
Juanita
Pedro
9′ x 12′
10′ x 12′
12′ x 12′
12′ x 13′
14′ x 17′
13′ x 15′
Give the names of the decorators who will have neither enough paint nor enough border. (Assume
a ceiling height of 8′ for each room.)
105)
A)
{Juanita, Pedro}
B)
{Mary, Sam}
C)
{Yong Sun, Ajay}
D)
None
A
C)
D)
Solve the equation.
106)
3s + 7 = s – 3
106)
A)
– 5, 17
2
B)
C)
– 5, – 1
D)
5, 2
C
C)
D)
52
C
C)
D)
Solve the absolute value equation or inequality. Give the solution set in interval form.
107)
|x –4| –10
107)
A)
B)
( , )
C)
[6, 13]
D)
[8, 13]
Solve the inequality. Give the solution set in both interval and graph forms.
108)
4< 1 – 4x 8
108)
A)
–7
4,3
4
–7
4
3
4
B)
–7
4,–3
4
–7
4–3
4
C)
–7
4,3
4
–7
4
3
4
D)
–7
4,–3
4
–7
4–3
4
For the compound inequality, give the solution set in both interval and graph forms.
109)
x >5 or x <5
109)
A)
(–, 5)
B)
(–, 5) (5,)
C)
{5}
D)
(5, )
Solve the inequality and graph the solution set.
110)
4– x 12
110)
A)
(–, 16]
B)
[–8, 16]
C)
(–, –8] [16, )
D)
(–, –8]
True or false?
111)
(A B)
C =A (B
C)
111)
A)
True
B)
False
Express the set in the simplest interval form.
112)
(–, 8] (–, –8)
112)
A)
(–, 8)
B)
(–, –8]
C)
(–8, 8]
D)
(–, 8]
D
Graph the system of inequalities.
113)
3x + 2y –6
x – 1
0
113)
A)
B)
55
B
C)
D)
Graph the solution set of the inequality or system of inequalities.
114)
3x – y 0
114)
A)
B)
56
C)
D)
Answer the question.
115)
If k < 0, what is the solution set of 8f – 6 < k?
115)
A)
{0}
B)
–k – 6
8, k – 6
8
C)
( , )
D)
D
Provide an appropriate response.
116)
Give the number of solutions for ax + b = k if k < 0.
116)
A)
2
B)
0
C)
An infinite number
D)
1
B
57
C
Solve the inequality. Give the solution set in both interval and graph forms.
117)
y– 2 <2
117)
A)
(–, 4)
B)
[4, )
C)
(–, 4]
D)
(4, )
118)
–8< – 2z 0
118)
A)
(–4, 0]
B)
[–4, 0)
C)
[0, 4)
D)
(0, 4]
Graph the linear inequality in two variables.
58
119)
x + y 5
119)
A)
B)
C)
D)
59
Solve the inequality and graph the solution set.
120)
|4y – 7| > – 4
120)
A)
3
4,
B)
C)
(–, )
D)
3
4, 11
4
121)
x >3
121)
A)
(–3, )
B)
(–3, 3)
C)
(3, )
D)
(–, –3) (3, )