Question 1 (Multiple Choice Worth 1 points)
[02.06]
Which of the following is the correct graph of the solution to the inequality −8 greater than or equal to −5x + 2 > −38?
number line with an open dot at 2 with shading to the left and another open dot at 8 with shading to the right.
number line with an open dot at 8 and at 2 with shading in between.
number line with a closed dot on 2 and an open dot on 8 and shading in between.
number line with closed dots at 2 and 8 with shading between the 2 and the 8.
Question 2 (Multiple Choice Worth 1 points)
[02.06]
Which of the following is the correct graph of the compound inequality 4p + 1 > −11 or 6p + 3 < 39?
a number line with closed circles at negative 3 and 6 and shading in between.
number line with open dot at negative 3 with shading to the left and an open dot at 6 with shading to the right.
number line with open dots at negative 2 and 5 with shading in between.
number line with shading everywhere.
Question 3 (Multiple Choice Worth 2 points)
[02.06]
The label on the car's antifreeze container claims to protect the car between −40°C and 125°C. To convert Celsius temperature to Fahrenheit temperature, the formula is C = 5 over 9 (F − 32). Write and solve the inequality to determine the Fahrenheit temperature range at which this antifreeze protects the car.
−40 > 5 over 9 (F − 32) > 125; −40 > F > 257
−40 < 5 over 9 (F − 32) < 125; −40 < F < 257
−40 < 5 over 9 (F − 32); −40 < F
5 over 9 (F − 32) < 125; F < 257
Question 4 (Multiple Choice Worth 1 points)
[02.06]
Which of the following is an equivalent form of the compound inequality −22 > −5x − 7 ≥ −3?
−5x − 7 < −22 and −5x − 7 ≥ −3
−5x − 7 > −22 and −5x − 7 ≥ −3
−5x > −22 and −7 ≥ −3
−5x − 7 < −22 and −5x − 7 ≤ −3
Question 5 (Multiple Choice Worth 2 points)
[02.06]
A publisher claims that the average salary paid at its company is $37,500 but it could differ as much as $4,500. Write and solve an absolute value inequality to determine the range of salaries at this company.
|x − 37500| ≤ 4500; The salaries range from $33,000 to $42,000
|x − 37,500| ≤ 4500; The salaries are less than $33,000 or greater than $42,000.
|x − 37500| ≥ 4500; The salaries range from $33,000 to $42,000
|x − 37,500| ≥ 4500; The salaries are less than $33,000 or greater than $42,000.
Question 6 (Multiple Choice Worth 1 points)
[02.06]
Solve and graph the absolute value inequality: |4x + 1| ≤ 5.
number line with closed dots on negative 1.5 and 1 with shading going in the opposite directions.
number line with open dots on negative 1.5 and 1 with shading in between.
number line with closed dots on negative 1 and 1 with shading in between.
number line with closed dots on negative 1.5 and 1 with shading in between.
Question 7 (Multiple Choice Worth 1 points)
[02.06]
Solve and graph the absolute value inequality: |2x + 4| > 14.
number line with open circles on negative 9 and 5, shading going in the opposite directions.
number line with open circles on negative 9 and 5, shading in between.
number line with closed circles on negative 9 and 5, shading going in the opposite directions.
a number line with open circles on negative 5 and 5, shading going in the opposite directions.
Question 8 (Multiple Choice Worth 1 points)
[02.06]
Solve the compound inequality 6b < 24 or 4b + 12 > 4.
b < 4 or b > −2
b < 4 or b > 4
b < 4 or b > 2
b > 4 or b < −2

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