Margin of Error Inequalities

The radius of the gears produced at a factory must be 6 inches in length within a tolerance of 0.1 inches.

• |x – 6| ≤ 0.1

• |x – 6| ≥ 0.1

• |x – 0.1| ≤ 6

• |x – 0.1| ≥ 6

• A

• B

• C

• D

In a survey, 75% of the people asked said they would vote yes for the town budget. The margin of error is 4.5%. The inequality \left|n\ -\ 75\right|\ \le\ 4.5 can be used to find the range of voters likely to vote yes for the budget. Which shows the solution to this inequality?

The rules for an essay contest say that entries can have 500 words with an absolute deviation of at most 30 words. Which inequality represents represents the acceptable number of words?

• |x - 30| < 500

• |x - 30| ≤ 500

• |x - 500| < 30

• |x - 500| ≤ 30

• Astrid meets both of her expectations

• Astrid buys the expected number of fruits, but she does beyond her budget

• Astrid stays within her budget, but she doesn't buy the expected number of fruits

• Astrid doesn't meet either of her expectations

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

Silvia must write an essay of 1,000 but she could be over or under by 25 words. Which inequality describes this situation?

Which inequality represents this situation?

A ruler must be exactly 12" with a margin of error of 0.05"

Which inequality represents this situation?