AnswersMOHEGAN - ALGEBRA 1AIntroduction to Compound Inequalities

Introduction to Compound Inequalities Answers

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To make a small vase, Elisa uses no more than 4.5 ounces of clay. To make a large vase, she uses at least 12 ounces of clay. Which compound inequality represents the number of ounces of clay, c, that Elisa uses to make one vase of either size?

A
4.5 < c < 12
B
4.5 ≤ c ≤ 12
C
c 12
D
c ≤ 4.5 or c ≥ 12
2
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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
3

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
4

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
5

Which graph represents the compound inequality?–3 < n < 1

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

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
7

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
8

To support a shelf, the diameter of a bolt can measure anywhere from 0.2 cm less than 1.5 cm to 0.2 cm greater than 1.5 cm. Which graph represents the possible measures of the diameter of the bolt?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
9

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
10

The weight of a box of cereal can vary by of an ounce and still be sold as a full box. Each box is supposed to contain 18 ounces of cereal. Which graph represents the possible weights of boxes that are overfilled or underfilled and cannot be sold as full boxes?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
11

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
12

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
13

To make a small vase, Elisa uses no more than 4.5 ounces of clay. To make a large vase, she uses at least 12 ounces of clay. Which compound inequality represents the number of ounces of clay, c, that Elisa uses to make one vase of either size?

A
4.5 < c < 12
B
4.5 ≤ c ≤ 12
C
c 12
D
c ≤ 4.5 or c ≥ 12
14

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}
15

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
16

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
17

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.
18

To support a shelf, the diameter of a bolt can measure anywhere from 0.2 cm less than 1.5 cm to 0.2 cm greater than 1.5 cm. Which graph represents the possible measures of the diameter of the bolt?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
19

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
20

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

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