Express the set in the simplest interval form.
44)
(–4, 4) [–3, 7]
44)
A)
(–4, 4)
B)
[–3, 4)
C)
[–3, 7]
D)
(–4, 7]
Solve the inequality. Give the solution set in both interval and graph forms.
45)
4x –48
45)
A)
(–, –12]
B)
[12, )
C)
[–12, )
D)
(–, 12]
Graph the linear inequality in two variables.
46)
3x + 4y –12
46)
21
A)
B)
C)
D)
47)
x – y > – 4
47)
22
A)
B)
C)
D)
Graph the system of inequalities.
48)
x + 2y 2
x + y 0
48)
23
A)
B)
C)
D)
49)
x – 2y 2
x + y 0
49)
24
A)
B)
C)
D)
Express the set in the simplest interval form.
50)
(–2, 9]
(0, )
50)
A)
(–2, )
B)
(0, 9]
C)
(–2, 9]
D)
[0, 9]
Solve the inequality. Give the solution set in both interval and graph forms.
51)
–3< x – 1 3
51)
A)
(–4, 2]
B)
[–2, 4)
C)
[–4, 2)
D)
(–2, 4]
Solve the equation.
52)
n – 4 =1– n
52)
A)
{5}
B)
5
2
C)
D)
–3
2
Graph the linear inequality in two variables.
53)
x + y < – 5
53)
26
A)
B)
C)
D)
54)
x + 5y 4
54)
27
A)
B)
C)
D)
28
Solve the inequality and graph the solution set.
55)
x 10
55)
A)
(–, –10]
B)
(–, –10] [10, )
C)
[–10, 10]
D)
(–, 10]
Graph the union or intersection of the two sets, as requested.
56)
Intersection
56)
A)
B)
C)
Solve the equation or inequality.
57)
y= – 6
57)
A)
{–6}
B)
1
6
C)
{6}
D)
58)
|5x – 4| + 5 < – 2
58)
A)
–, –3
5
B)
–3
5, 11
5
C)
–, 11
5
D)
D
Solve the absolute value equation or inequality. Give the solution set in interval form.
59)
3k – 2 – 7 < – 4
59)
A)
–, –1
35
3,
B)
–, –1
3
C)
D)
–1
3, 5
3
D
D
For the compound inequality, give the solution set in both interval and graph forms.
60)
–6x + 1 13 or 3x + 3 –9
60)
A)
(–,)
B)
[–4, –2]
C)
[–2, )
D)
[–4, )
Solve the inequality. Give the solution set in both interval and graph forms.
61)
3
4t –60
61)
A)
[–80, )
B)
(–, –80]
C)
[80, )
D)
(–, 80]
62)
–11 < – 3x + 4 1
62)
A)
(1, 5]
B)
(–5, –1]
C)
[1, 5)
D)
[–5, –1)
Graph the linear inequality in two variables.
63)
x – y < – 3
63)
A)
B)
32
C)
D)
Solve the equation.
64)
x=2.7
64)
A)
{2.7, –2.7}
B)
{2.7}
C)
{729}
D)
{–2.7}
A
Solve the equation or inequality.
65)
|3x – 9| – 2 > – 7
65)
A)
B)
4
3, 14
3
C)
4
3,
D)
(–, )
D
B
Solve the inequality. Give the solution set in both interval and graph forms.
66)
–2x + 4(x – 9) <2x – 10
66)
A)
(–, 0)
B)
(-, )
C)
D)
(0, )
67)
12y+ 21 >3(3y + 14)
67)
A)
(7, )
B)
(–, 12)
C)
(–, 7)
D)
(12, )
Graph the system of inequalities.
34
68)
2x + y 4
x – 1 0
68)
A)
B)
C)
D)
35
69)
2x + y 4
y – 1 0
69)
A)
B)
C)
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.
70)
x+7=9
70)
A)
{–2, 2}
B)
{–9}
C)
{2}
D)
{–9, 9}
Graph the union or intersection of the two sets, as requested.
71)
Union
71)
A)
B)
C)
Solve the absolute value equation or inequality. Give the solution set in interval form.
72)
8– 6x 1
72)
A)
–, –3
2 [1, )
B)
–, 7
63
2,
C)
3
2,
D)
7
6, 3
2
Solve the inequality. Give the solution set in both interval and graph forms.
73)
–2<2x + 4 6
73)
A)
[–3, 1)
B)
[–3, 1]
C)
(–3, 1]
D)
(–3, 1)
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.
74)
C B
74)
A)
{q, s, u, v, w, x, y}
B)
{q, s, v, w, x, y, z}
C)
{s, u, v, w, x, z}
D)
{s, u, w}
Graph the system of inequalities.
75)
2x + y 4
x – 1 0
75)
A)
B)
C)
D)
Graph the solution set of the inequality or system of inequalities.
76)
x + 2y 2
x – y 0
76)
A)
B)
C)
D)
39
Solve the equation or inequality.
77)
x + 6 0
77)
A)
{–6}
B)
(–, –6)
C)
D)
{6}
For the compound inequality, give the solution set in both interval and graph forms.
78)
x 2 and x –3
78)
A)
(2, )
B)
[2, )
C)
(–, 2]
D)
(–, –3]
True or false?
79)
The intersection of the set of nonpositive rational numbers and the set of whole numbers is {0}.
79)
A)
True
B)
False
Graph the linear inequality in two variables.
80)
–3x – 4y 12
80)