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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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
3

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
4

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}
5

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
6

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
7

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
8

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
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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