HELP! My math assignment is due in 15 minutes and this question makes no sense!

The rules for an essay contest say that entries can have 500 words with an absolute deviation of at most 30 words. Write and solve an absolute value inequality that represents the acceptable numbers of words.

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The absolute value inequality to represent the number of words Constraint is 470 ≤ X ≤ 530

Number of words required = 500

Error or deviation = 30

This means that :

  • Minimum number of words = 500 - 30 = 470
  • Maximum number of words = 500 + 30 = 530
  • This means that number of words must not be below the minimum value of 470 and it must not exceed the maximum number of 530

Therefore, an absolute value which represents the acceptable number of words :

Minimum ≤ number of words ≤ maximum

Hence, the absolute value inequality for the number of words required is 470 ≤ X ≤ 530

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