Answers AZ-Intermediate Algebra A MA311Solving One-Variable 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?

4.5 < c < 12

4.5 ≤ c ≤ 12

c 12

c ≤ 4.5 or c ≥ 12

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Which compound inequality is represented by the graph?

–2 < x ≤ 4

–2 ≤ x < 4

x < –2 or x ≥ 4

x ≤ –2 or x > 4

Which set of numbers is included in the solution set of the compound inequality?

{–7, 5, 18, 24, 32}

{–9, 7, 15, 22, 26}

{16, 17, 22, 23, 24}

{18, 19, 20, 21, 22}

Which compound inequality is represented by the graph?

–3 ≤ x < 1

–3 < x ≤ 1

x ≤ –3 or x > 1

x < –3 or x ≥ 1

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?

e ≥ 50 or e ≤ 100

e > 50 or e < 100

50 < e < 100

50 ≤ e ≤ 100

Which scenario can be modeled using the graph below?

A temperature range is within 5 degrees of 60 degrees Fahrenheit.

A scientist uses more than 55 and less than 65 mL of water in an experiment.

A commuter train takes less than 55 minutes or more than 65 minutes to complete one route.

A worker makes greater than $55 per day but less than $65 per day.

A chef knows that ground beef used for hamburger is safe to eat once it reaches 160 degrees Fahrenheit. For optimized taste and safety, he will not allow a hamburger cooked to a temperature under 160 degrees or over 170 degrees to be served. Which graph represents the conditions under which the chef will not allow the hamburger to be served?

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