AnswersTX-Pre-CalculusUnit Test

Rational Inequalities Answers

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1
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The expression is equal to zero when x =3 and –39 and 94 and 2–4 and –2.

Question illustration
A
3 and –3
B
9 and 9
C
4 and 2
D
–4 and –2
2
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The expression is undefined when x = 3 and –39 and –94 and 2–4 and –2.

Question illustration
A
3 and –3
B
9 and –9
C
4 and 2
D
–4 and –2
3

Use the critical points to determine the test regions. Which are possible test points?

A
–5
B
–4
C
–3.5
D
–3
E
–2.5
F
–2
G
0
H
5
4

The inequality [image 1] can be factored as: [image 2] Test points for the intervals are shown. Select the test points that make the inequality true.

Question illustration
A
x = –5
B
x = –3.5
C
x = 0
D
x = 5
5

Which inequality is the same as

Question illustration
A
Option
B
Option
C
Option
D
Option
6

Solve:

Question illustration
A
x < 4
B
x > –4
C
x > 4
D
x < –4
7

Solve the inequality and write the solution in interval notation:

Question illustration
A
(-5, 6)
B
[-5, 6)
C
Option
D
Option
8

Which interval(s) contains viable travel rates for the boat on the first leg of the trip?

A
(0,4] only
B
(0,4] and (10,30]
C
[4,10) and (10,30]
D
(10,30] only
9

Identify the graph of the solution set of:

Question illustration
A
Option
B
Option
C
Option
10

The solution to is:

Question illustration
A
Option
B
Option
C
Option
D
Option
11

Solve:

Question illustration
A
–4 < x < –2
B
–2 < x < 4
C
–2 < x < –4
D
–4 < x < 2
12

Solve the inequality and write the solution in interval notation:

Question illustration
A
Option
B
Option
C
Option
D
Option
13

Solve the inequality. Which intervals are included in the solution? Check all that apply.

A
Option
B
(0, 4]
C
[4, 10)
D
(10, 30]
E
Option

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