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.
122)
|4x – 9| – 1 < – 3
122)
A)
–, 11
47
4,
B)
–, 11
4
C)
–, 7
4
D)
Solve the equation or inequality.
123)
m + 4 = 0
123)
A)
{–4}
B)
(–, –4)
C)
{4, –4}
D)
(4,)
A
Solve the absolute value equation or inequality. Give the solution set in interval form.
124)
|4x – 8| = |– 2 – x|
124)
A)
10
3, 5
6
B)
10
3, 6
5
C)
–10
3, –6
5
D)
10
3
B
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.
125)
y 3x –4
9
125)
A)
solid; below
B)
solid; above
C)
dashed; below
D)
dashed; above
A
61
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.
126)
B C
126)
A)
{q, s, u, w, y, z}
B)
{q, s, v, w, x, y, z}
C)
{y, z}
D)
{q, w, y, z}
Solve the equation.
127)
5s + 2 =s + 8
127)
A)
3
2
B)
C)
3
2, –5
3
D)
–3
2, 5
3
C
Answer the question.
128)
If k < 0, what is the solution set of 2f – 9 = k?
128)
A)
B)
{0}
C)
( , )
D)
k – 9
2
A
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.
129)
0.5x –5.7 +0.1 0.7
129)
A)
(10.2, 12.6)
B)
( , 10.2] [12.6, )
C)
{10.2, 12.6}
D)
( , 10.2]
[12.6, )
B
62
B
Solve the inequality. Give the solution set in both interval and graph forms.
130)
–17 –3c + 1 < – 5
130)
A)
(2, 6]
B)
[–6, –2)
C)
(–6, –2]
D)
[2, 6)
True or false?
131)
The union of the set of rational numbers and the set of integers is the set of rational numbers.
131)
A)
True
B)
False
63
Solve the inequality. Give the solution set in both interval and graph forms.
132)
3
4t –48
132)
A)
[64, )
B)
(–, –64]
C)
[–64, )
D)
(–, 64]
True or false?
133)
The intersection of the sets (–, –22) and (–22, ) is {–22}.
133)
A)
True
B)
False
Solve the inequality and graph the solution set.
134)
m – 9 < 0
134)
A)
(–9, 9)
B)
C)
(–, 9)
D)
(–9, )
For the compound inequality, give the solution set in both interval and graph forms.
135)
5x – 1 < 4 and x – 2 > – 1
135)
A)
(0, 1)
B)
{1}
C)
[0, 1]
D)
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.
136)
y +7–4=12
136)
A)
{11, 22}
B)
{9, –23}
C)
{9}
D)
{16, –16}
Solve the equation.
137)
0.01x –7=2.18
137)
A)
{0, 918}
B)
{–482, 918}
C)
{482, 918}
D)
{918}
For the compound inequality, decide whether intersection or union should be used. Then give the solution set in both
interval and graph forms.
138)
x –6 or x >6
138)
A)
Union; (–, )
B)
Union; [–6, 6)
C)
Union; (–, –6] (6, )
D)
Intersection;
Graph the system of inequalities.
66
139)
3x – 2y 6
x – 1
0
139)
A)
B)
C)
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.
140)
A B
140)
A)
{s, u, v, w, x, z}
B)
{v, x}
C)
{s, u, w}
D)
{q, s, u, v, w, x, y, z} or A
Solve the inequality. Give the solution set in both interval and graph forms.
141)
7x + 8
5<27
7
141)
A)
–, 79
49
79
49
B)
–, 27
7
27
7
C)
79
49 ,
79
49
D)
27
7,
27
7
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.
142)
|7y – 2| – 4 > – 10
142)
A)
–4
7, 8
7
B)
–4
7,
C)
D)
(–, )
D
A
Solve the equation.
143)
2s – 4 = s + 9
143)
A)
13
B)
– 13, 5
3
C)
13, –5
3
D)
True or false?
144)
(A
B)
C =A
(B
C)
144)
A)
True
B)
False
Solve the inequality and graph the solution set.
145)
g – 6 <4
145)
A)
(2, 10)
B)
(2, –10)
C)
D)
(–2, 10)
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.
146)
6k – 2 + 7 <16
146)
A)
B)
–, –7
611
6,
C)
–, –7
6
D)
–7
6, 11
6
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.
147)
B
C
147)
A)
{q, w, y}
B)
{q, y, z}
C)
{q, s, w, y, z}
D)
{y, z}
D
Solve the absolute value equation or inequality. Give the solution set in interval form.
148)
|–4x + 3| + 7 <13
148)
A)
–, –3
49
4,
B)
–, –3
4
C)
D)
–3
4, 9
4
D
70
D
For the compound inequality, give the solution set in both interval and graph forms.
149)
–17 <4x – 1 and 4x – 1 < – 1
149)
A)
[–4, 0)
B)
[–4, 0]
C)
(–4, 0]
D)
(–4, 0)
Solve the compound inequality. Give the solution set in both interval and graph form.
150)
–55 9x – 1 and 3x – 6 < – 12
150)
A)
[–6, –2)
B)
[–6, –2]
C)
(–6, –2]
D)
(–6, –2)
Solve the inequality. Give the solution set in both interval and graph forms.
151)
– 0.4z > – 0.24
151)
A)
(–0.6, )
B)
(–, –0.6)
C)
(0.6, )
D)
(–, 0.6)
For the compound inequality, give the solution set in both interval and graph forms.
152)
x <2 or x <7
152)
A)
(2, )
B)
(–, 2) (7, )
C)
(–, 7)
D)
(2, 7)