AnswersAZ-Algebra 1A MA101Solving One-Variable Inequalities

Introduction to Compound Inequalities Answers

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Which graph represents the compound inequality?n < –2 or n ≥ 4

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
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For one photography session, Dexter earns no less than $50, but no more than $100. Which inequality can be used to represent his earnings, e?

A
e ≥ 50 or e ≤ 100
B
e > 50 or e < 100
C
50 < e < 100
D
50 ≤ e ≤ 100
3

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
4

Which graph represents the compound inequality?h ≥ –5 and h < 2

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
5

Which set of numbers is included in the solution set of the compound inequality?

Question illustration
A
{–7, 5, 18, 24, 32}
B
{–9, 7, 15, 22, 26}
C
{16, 17, 22, 23, 24}
D
{18, 19, 20, 21, 22}
6

If a bus driver leaves her first stop by 7:00 a.m., her route will take less than 37 minutes. If she leaves after 7:00 a.m., she estimates that the same route will take no less than 42 minutes. Which inequality represents the time it takes to drive the route, r?

A
r < 37 or r ≥ 42
B
r 42
C
37 < r ≥ 42
D
37 > r ≥ 42
7

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
8

A political polling agency predicts candidate A will win an election with 54% of the votes. Their poll has a margin of error of 4% both above and below the predicted percentage. Which inequality represents the predicted possible percent of votes, x, for candidate A?

A
50 ≤ x ≤ 58
B
x ≥ 50 or x ≤ 58
C
x ≥ 52 or x ≤ 56
D
52 ≤ x ≤ 56
9

Which compound inequality is represented by the graph?

Question illustration
A
–2 < x ≤ 4
B
–2 ≤ x < 4
C
x < –2 or x ≥ 4
D
x ≤ –2 or x > 4
10

Which scenario can be modeled using the graph below?

Question illustration
A
A temperature range is within 5 degrees of 60 degrees Fahrenheit.
B
A scientist uses more than 55 and less than 65 mL of water in an experiment.
C
A commuter train takes less than 55 minutes or more than 65 minutes to complete one route.
D
A worker makes greater than $55 per day but less than $65 per day.

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