AnswersMOHEGAN - ALGEBRA 1AIntroduction to Compound Inequalities

Solving Compound Inequalities Answers

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1
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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.
2
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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
3

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
4

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
5

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
6

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

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

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
10

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
11

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
12

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}
13

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

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