Absolute Value Equation and Inequality Word Problems

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A company makes boxes of crackers that should weigh 213g. A quality control inspector randomly selects boxes to weigh.  Any box that varies from the weight by more than 5g is sent back. What is an equation that shows the range of allowable weights for a box of crackers and what is the range?

• |w - 213| ≤ 5,         208 ≤ w ≤ 218

• |w - 213| ≤ 5,                   0 ≤ w ≤ 10

• |w - 5| ≤ 213,         208 ≤ w ≤ 218

• |w - 5| ≤ 213,                   0 ≤ w ≤ 10

The average temperature in January in a northern Canadian city is 1 degree Farenheit. The actual January temperature for that city may be about 5 degrees warmer or colder. Write an equation to find the minimum and maximum temperature.

y= | x - ​ (a)   | = ​ (b)  

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John is looking for a job after graduation. The salary which he is satisfied with must be $3000 with a tolerance of $500. Which of the following inequalities can be used to assess which if his salary is tolerable? (m is the measure of the salary)

• |m - 500| ≤ 3000

• |m - 500| ≥ 3000

• |m - 3000| ≥ 500

• |m - 3000| ≤ 500

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• B

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Solve the inequality.

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• D

• v>5 or v<-5
• v≥5 or v≤-5
• v>-5 or v<5
• all real numbers

• no solution
• all real numbers 
• -2 ≤ n ≤ 16
• n ≤ -2 or n ≥ 16

• x > 11 or x < 5
• x > - 11 or x > 5
• 5 < x < 11
• - 5 < x < 11

Solve the inequality.

• A

• B

• C

• D