WorksheetsSolve Absolute Value Inequalities and Word Problems
Total questions: 20
Worksheet time: 20mins
The radius of the gears produced at a factory must be 6 inches in length with a tolerance of 0.1 inches. The gears with radius beyond the tolerated lengths will be thrown away. Which of the following inequalities can be used to assess which gears are eligible? (x is the length of the radius)
|x – 6| ≤ 0.1
|x – 6| ≥ 0.1
|x – 0.1| ≤ 6
|x – 0.1| ≥ 6
The street built in the city must be 25 feet in width with a tolerance of 0.5 feet. Streets that are not within the tolerated widths must be repaired. Which of the following inequalities can be used to assess which streets are within tolerance? (W is the width of the street) .
|25 - W| ≤ .5
|W - .5| ≤ 25
|W - 25| ≥ .5
|.5 - W| ≥ 25
At the TX Design Company, the average starting salary for a new designer is $33,600, but the actual salary could differ from the average by as much as $1,560. Which inequality could be used to determine if a salary, x, falls within this range?
|x - 1,560| ≤ 33,600
x - 33,600 ≤ 1,560
|x -33,600| ≥ 1,560
|x - 33,600| ≤ 1,560
Solve the absolute Value inequality and graph.
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Solve the inequality.
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Solve the inequality.
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B
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Solve the inequality.
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B
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Solve the inequality.
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Solve for x.
x ≥ -3.33 and x ≤ 2
x > -3.33 and x < 2
x ≥ -3.33 or x ≤ 2
x > -3.33 or x < 2
What is the first step in solving
|x + 4| - 8 > 2
Subtract 2 on both sides
Set up two inequalities
Divide 8 on both sides
Add 8 on both sides
Solve the inequality.
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Solve the inequality.
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| -8x | < 8
What is the correct first step?
separate into two inequalities with an "and"
separate into two inequalities with an "or"
divide both sides by -8
Describe the first step in solving the absolute value inequality
Add 5 on both sides
Divide both sides by -5
Set up two inequalities
no solution
