Question

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.
The inequality is ?, where w represents the number of words

Answer 1

Answer:

470<x<530

Step-by-step explanation:

Let x be number of acceptable words

|x-500|<300        

we write absolute value inequality representing the acceptable number of words, given the fact that absolute deviation is at most 30 words

-30<x-500<30

500-30<x-500+500<30+500

470<x<530.

Answer 2

|w-500|≤30; 470 to 530 words