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 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
3

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.
4

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
5

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
6

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}
7

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
8

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
9

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
10

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
11

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.
12

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
13

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}
14

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
15

Which compound inequality is represented by the graph?

Question illustration
A
–3 ≤ x < 1
B
–3 < x ≤ 1
C
x ≤ –3 or x > 1
D
x < –3 or x ≥ 1
16

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
17

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
18

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
19

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
20

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

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