1.
Choose the inequality that corresponds with the sentence ''Twice a number increased by four is less than the difference of three times that number and five. ''
A.
2
x
+ 4 < 3
x
- 5
B.
2(
x
+ 4) < 3(
x
+ 5)
C.
2
x
+ 4 < 5 - 3
x
D.
2
x
+ 4 > 3
x
- 5
Hint
2.
The opposite of two thirds of a number
x
is at least 18. What are the possible values of
x
?
A.
B.
C.
{
x
|
x
> -27}
D.
Hint
3.
Which graph show the solution set of the compound inequality
4
x
- 7 < 2
x
and 3
x
+ 5
>
-1?
A.
B.
C.
D.
Hint
4.
Solve
x
– 72 > 21.
A.
x
> -93
B.
x
> 93
C.
x
> 51
D.
x
> -51
Hint
5.
Solve
A.
B.
C.
D.
Hint
6.
Solve
A.
B.
C.
D.
Hint
7.
Solve
A.
B.
C.
D.
Hint
8.
Solve –10 < 2
x
– 8 < 8.
A.
{
x
| -1 <
x
< 8}
B.
{
x
| -9 <
x
< 0}
C.
{
x
| -1 < x < 6}
D.
{
x
| -9 <
x
< 8}
Hint
9.
Solve
A.
{
x
|
x
< -16 or
x
> 12}
B.
{
x
|
x
> 12}
C.
{
x
|
x
< -12}
D.
{
x
|
x
< -12 or
x
> 16}
Hint
10.
Solve
A.
B.
or
C.
or
D.
Hint
11.
Graph
x
–
y
< 5.
A.
B.
C.
D.
Hint
12.
Which of the following is the inequality for the given graph?
A.
3
x
–
y
> 2
B.
3
x
+
y
> 2
C.
3
x
–
y
< 2
D.
3
x
+
y
< 2
Hint