Deck 9: Inequalities
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Deck 9: Inequalities
1
Solve the inequality
.Round your answer to two decimal places.
A)
B) 
C) 
D) There is no solution.

A)

B)

C)

D) There is no solution.
There is no solution.
2
Solve the inequality
.Round your answer to two decimal places.
A)
B) 
C) 
D) 

A)

B)

C)

D)


3
Solve the inequality
.Round your answer to two decimal places.
A) 
B) 
C) 
D)

A)

B)

C)

D)


4
Solve the inequality
.Restrict your attention to positive values of x.Round your answer to two decimal places.
A)
B) The inequality is always true.
C) 
D) The inequality is never true.

A)

B) The inequality is always true.
C)

D) The inequality is never true.
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5
Solve the inequality
.Restrict your attention to positive values of x.
A) 
B)
C) 
D) 

A)

B)

C)

D)

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6
Solve the inequality
.Round your answer to two decimal places.
A)
B)
and 
C)
and 
D) 

A)

B)


C)


D)

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7
Solve the inequality
.
A) 
B) 
C) 
D) 

A)

B)

C)

D)

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8
The solution to the inequality
occurs where the graph of
lies above the graph of
.



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9
Solve the inequality
.Round your answer to two decimal places.
A)
B) 
C) 
D) 

A)

B)

C)

D)

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10
Solve the inequality
.Restrict your attention to positive values of x.Round your answer to two decimal places.
A)
B) 
C) 
D) 

A)

B)

C)

D)

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11
Complicated inequalities such as
cannot be solved using graphs.

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12
Solve the inequality
.Round your answer to two decimal places.
A) 
B)
C) 
D) 

A)

B)

C)

D)

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13
Graphs can be used to solve equations but not inequalities.
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14
Solve the inequality
.Round your answer to two decimal places.
A)
B)
C)
D)

A)

B)

C)

D)

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15
Solve the inequality
.Restrict your attention to positive values of
.Round your answer to two decimal places.
A)
B)
and 
C)
and 
D) 


A)

B)


C)


D)

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16
Solve the inequality
.Restrict your attention to positive values of x.Round your answer to two decimal places.
A) 
B) 
C) 
D)

A)

B)

C)

D)

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17
Solve the inequality
.Restrict your attention to positive values of x.Round your answer to two decimal places.
A) 
B)
C) 
D) 

A)

B)

C)

D)

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18
Solve the inequality
.Restrict your attention to positive values of x.Round your answer to two decimal places.
A) 
B)
C) 
D) 

A)

B)

C)

D)

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19
Solve the inequality
.Round your answer to two decimal places.
A)
B)
C) 
D)

A)

B)

C)

D)

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20
Solve the inequality
.
A) 
B)
C) 
D) 

A)

B)

C)

D)

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21
Solve the inequality
.Round your answer to two decimal places.
A)
and 
B)
and 
C)
D) 

A)


B)


C)

D)

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22
A roast is baking in the oven.The internal temperature R, in degrees Fahrenheit, of the roast t minutes after it is put in the oven is given by
.
The roast should be removed from the oven when its internal temperature is between 160 and 165 degrees.During what time period should the roast be removed? Round your answer to two decimal places.
A) Between 116.88 and 119.53 minutes after it is placed in the oven
B) Between 102.07 and 105.07 minutes after it is placed in the oven
C) Between 102.41 and 108.52 minutes after it is placed in the oven
D) Between 107.20 and 112.12 minutes after it is placed in the oven

The roast should be removed from the oven when its internal temperature is between 160 and 165 degrees.During what time period should the roast be removed? Round your answer to two decimal places.
A) Between 116.88 and 119.53 minutes after it is placed in the oven
B) Between 102.07 and 105.07 minutes after it is placed in the oven
C) Between 102.41 and 108.52 minutes after it is placed in the oven
D) Between 107.20 and 112.12 minutes after it is placed in the oven
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23
A metal bar is heated and then placed on a workbench for bending.The temperature B, in degrees Fahrenheit, t minutes after heat is applied is given by
.
The bar can be worked so long as its temperature is higher than 440 degrees.For what values of t is the bar suitable for working? Round your answer to two decimal places.
A)
minutes
B)
minutes
C)
minutes
D)
minutes

The bar can be worked so long as its temperature is higher than 440 degrees.For what values of t is the bar suitable for working? Round your answer to two decimal places.
A)

B)

C)

D)

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24
Solve the inequality
.
A)
B)
C)
D)

A)

B)

C)

D)

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25
The distance D, in miles, from a moving train to a home is given by
. Here t is the time in hours since the train left the station.For what values of t is the train less than 2 miles from the home?
A)
hours
B)
hours
C)
hours
D)
hours

A)

B)

C)

D)

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26
A tubeworm of length L meters is T years old, where
.
In a certain location tubeworms are known to be between the ages of 108 years to 158.00 years.What is the range of lengths of the tubeworms in this location? Round your answer to two decimal places.
A) From 1.44 meters to 1.46 meters
B) From 11.32 meters to 14.13 meters
C) From 1.58 meters to 1.82 meters
D) From 1.63 meters to 2.84 meters

In a certain location tubeworms are known to be between the ages of 108 years to 158.00 years.What is the range of lengths of the tubeworms in this location? Round your answer to two decimal places.
A) From 1.44 meters to 1.46 meters
B) From 11.32 meters to 14.13 meters
C) From 1.58 meters to 1.82 meters
D) From 1.63 meters to 2.84 meters
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27
Buffalo are introduced into a protected area.After t years the number of buffalo in the herd is given by
.
During what period are there between 34.00 and 58.00 buffalo in the herd? Round to two decimal places.
A) From 4.85 years on
B) From 13.96 years on
C) From 2.13 to 4.85 years since the herd was introduced to the area
D) From 6.14 to 13.96 years since the herd was introduced to the area

During what period are there between 34.00 and 58.00 buffalo in the herd? Round to two decimal places.
A) From 4.85 years on
B) From 13.96 years on
C) From 2.13 to 4.85 years since the herd was introduced to the area
D) From 6.14 to 13.96 years since the herd was introduced to the area
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28
The length L, in centimeters, of a certain fish depends on the age t, in years.The relationship is
.
Fish between lengths of 34.50 and 39.50 centimeters long are suitable for harvesting.Over what age range is the fish suitable for harvesting? Round your answer to two decimal places.
A) 4.90 years or older
B) 12.59 years or older
C) Between 3.49 and 4.90 years old
D) Between 8.47 and 12.59 years old.

Fish between lengths of 34.50 and 39.50 centimeters long are suitable for harvesting.Over what age range is the fish suitable for harvesting? Round your answer to two decimal places.
A) 4.90 years or older
B) 12.59 years or older
C) Between 3.49 and 4.90 years old
D) Between 8.47 and 12.59 years old.
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29
The body surface area B, in square meters, of a man who is 180 centimeters tall can be estimated from his weight w, in kilograms.The relationship is
. What weight range results in a body surface area of more than 2.03 meters? Round your answer to two decimal places.
A)
kilograms
B)
kilograms
C)
kilograms
D)
kilograms

A)

B)

C)

D)

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30
Solve the inequality
.Be careful.The graphs cross twice.Round your answer to two decimal places.
A)
B)
C)
D)

A)

B)

C)

D)

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31
If an average-sized man falls with a parachute, then his velocity
, in feet per second, t seconds into the fall is given by
.
During which period will his velocity be between 9.99 and 12.99 feet per second? Round to two decimal places.
A) From 0.65 seconds on
B) From 9.77 seconds on
C) From 0.43 to 0.65 seconds into the fall
D) From 4.88 to 9.77 seconds into the fall


During which period will his velocity be between 9.99 and 12.99 feet per second? Round to two decimal places.
A) From 0.65 seconds on
B) From 9.77 seconds on
C) From 0.43 to 0.65 seconds into the fall
D) From 4.88 to 9.77 seconds into the fall
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32
Solve the inequality
.Restrict your attention to positive values of x.Round your answer to two decimal places.
A)
B) 
C) 
D) 

A)

B)

C)

D)

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33
Solve the inequality
.Round your answer to two decimal places.
A) 
B) 
C)
D) 

A)

B)

C)

D)

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34
Solve the inequality
.Round your answer to two decimal places.
A)
and 
B)
and 
C) 
D) 

A)


B)


C)

D)

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35
Solve the inequality
.Round your answer to two decimal places.
A)
B)
C)
D)

A)

B)

C)

D)

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36
Solve the inequality
.Round your answer to two decimal places.
A)
B) 
C)
D) 

A)

B)

C)

D)

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37
Solve the inequality
.Round your answer to two decimal places.
A)
and 
B)
and 
C) 
D) 

A)


B)


C)

D)

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38
City water, which is slightly chlorinated, is being used to flush a tank of heavily chlorinated water.The concentration C, in milligrams per gallon, of chlorine in the tank
hours after flushing begins is given by
.
The water in the tank is safe for use when chlorine levels are less than 2.50 milligrams per gallon.For what values of t is the water in the tank safe for use? Round your answer to two decimal places.
A)
hours
B)
hours
C)
hours
D)
hours


The water in the tank is safe for use when chlorine levels are less than 2.50 milligrams per gallon.For what values of t is the water in the tank safe for use? Round your answer to two decimal places.
A)

B)

C)

D)

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39
Plutonium-239 is a primary component of modern nuclear weapons.If there is initially 6 kilograms, then after t thousand years, the amount remaining is given by
. Over what time range will there be between 1 and 2 kilograms of plutonium-239 remaining? Round your answer to two decimal places.
A) From 38.36 to 62.56 thousand years
B) From 20.27 to 24.77 thousand years
C) Up to 62.56 thousand years
D) Up to 20.27 thousand years

A) From 38.36 to 62.56 thousand years
B) From 20.27 to 24.77 thousand years
C) Up to 62.56 thousand years
D) Up to 20.27 thousand years
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