Answers4413VA ALGEBRA 3 SEM ASolving Compound Inequalities

Solving Compound Inequalities — Unit test Answers

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21
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Which is the best interpretation of the solution set for the compound inequality?3(2x + 1) > 21 or 4x + 3 < 3x + 7

A
no solution
B
3 < x < 4
C
x 4
D
all real numbers
22
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Jeremy rides a Ferris wheel. The graph shows h, Jeremy’s height above the ground at any time during the ride.

Question illustration
A
10 < h < 50
B
10 ≤ h ≤ 50
C
h > 10 or h < 50
D
h ≥ 10 or h ≤ 50
23

The solution to an inequality is graphed on the number line.

Question illustration
A
{x | x < 4.5}
B
{x | x ≤ 4.5}
C
{x | x > 4.5}
D
{x | x ≥ 4.5}
24

A chef knows that ground beef used for hamburger is safe to eat once it reaches 160 degrees Fahrenheit. For optimized taste and safety, he will not allow a hamburger cooked to a temperature under 160 degrees or over 170 degrees to be served. Which graph represents the conditions under which the chef will not allow the hamburger to be served?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
25

Which compound inequality has no solution?

A
x ≤ –2 and 2x ≥ 6
B
x ≤ –1 and 5x ≤ 5
C
x ≤ –1 and 3x ≥ –3
D
x ≤ –2 and 4x ≤ –8
26

Devin is collecting signatures for a petition to open a new park in her town. She needs to collect at least 1,000 signatures before she can schedule a meeting with the mayor. She already has 380 signatures. If each petition page holds 80 signatures, which inequality best shows how many more pages (p) Devin needs?

A
7 ≤ p
B
8 ≤ p
C
8 < p
D
9 < p
27

Which number line represents the solution set for the inequality –x ≥ 4?

Question illustration
A
A number line from negative 10 to 10 in increments of 2. A point is at negative 2 and a bold line starts at negative 2 and is pointing to the left.
Option A
B
A number line from negative 10 to 10 in increments of 2. A point is at negative 8 and a bold line starts at negative 8 and is pointing to the left.
Option B
C
A number line from negative 10 to 10 in increments of 2. A point is at negative 2 and a bold line starts at negative 2 and is pointing to the right.
Option C
D
A number line from negative 10 to 10 in increments of 2. A point is at negative 8 and a bold line starts at negative 8 and is pointing to the right.
Option D
28

The solution to an inequality is given in interval notation as (2, ∞). What is another way to represent this solution set?

A
A number line going from negative 5 to positive 5. A solid circle appears at positive 2. The number line is shaded between positive 2 and negative 5.
Option A
B
A number line going from negative 5 to positive 5. An open circle appears at positive 2. The number line is shaded between positive 2 and negative 5.
Option B
C
A number line going from negative 5 to positive 5. A solid circle appears at positive 2. The number line is shaded between positive 2 and positive 5.
Option C
D
A number line going from negative 5 to positive 5. An open circle appears at positive 2. The number line is shaded between positive 2 and positive 5.
Option D
29

What is the solution to the inequality + 4 ≤ 0?

Question illustration
A
(–∞, –28)
B
(–∞, –28]
C
(28, ∞)
D
[28, ∞)
30

A phone plan has a limit of $25 that can be spent on text messages. The base cost of the text plan will cost a user $5. Each text will cost $0.05. How many text messages (t) can a user send without exceeding the plan limits?

A
t ≤ 400
B
t < 400
C
t ≤ 600
D
t < 600
31

In order to qualify for a role in a play, an actor must be taller than 64 inches but shorter than 68 inches. The inequality 64 < x < 68, where x represents height, can be used to represent the height range. Which is another way of writing the inequality?

A
x > 64 and x < 68
B
x > 64 or x < 68
C
x < 64 and x < 68
D
x < 64 or x < 68
32

Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D

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