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Introduction to Compound Inequalities Answers

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

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Option A
B
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Option B
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Option D
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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?

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

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Which scenario can be modeled using the graph below?

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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.
5

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
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

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
8

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
9

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

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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

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