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Practice with
Linear Inequalities |
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Solve the
following problems dealing with linear inequalities.
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1. |
In the set of positive integers, what is the
solution set of the inequality 2x - 3 < 5 ?
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2. |
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Which of the following is not a solution
of
-4
< -6x + 2 < 8 ?
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3. |
Which of the following expressions is represented
by the graph shown below?
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4. |
Ashley has a $20 bill and needs to buy three
Hallmark Blossom birthday cards at $2.55 each. With the
left over money she would like to buy as many Paw Note thank you
cards as possible. If the thank you cards cost $2.99 each,
how many thank you cards can she purchase? An algebraic solution is
expected.
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5. |
Which expression has the entire number line as its graph? |
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Choose:
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6. |
In 1958, NASA began its search for astronauts
for project Mercury, the first man-in-space program.
The initial qualifications for astronaut candidates
specified males between 25 and 40 years of age, who were at
least 5-foot, 4 inches tall but no taller than 5 foot,
11-inches. Write and graph a system of
inequalities that represent the range of heights and ages
for qualifying astronauts.
Photo courtesy of NASA
Project Mercury Astronauts: Left to right: Scott
Carpenter,
Gordon Cooper, John Glenn, Gus Grissom, Walter Schirra,
Alan Shepard, and Deke Slayton.
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7. |
Katie works part-time at the Fallbrook Riding
Stable. She makes $5 an hour for exercising horses and
$10 an hour for cleaning stalls. Because Katie
is a full-time student, she cannot work more than 12 hours
per week. Graph two inequalities that illustrate how
many hours Katie needs to work at each job if she plans to
earn not less than $90 per week. |
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| 8. |
Your new cell phone plan has a monthly access fee
of $28.72 with a flat rate of $0.31 per minute. If you
want to keep your monthly bill under $40, how many minutes per
month can you talk on your new cell phone? |
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