Question

For an essay contest, Annika needs to write 400 words with an absolute deviation of less than 10 words. Using w as a variable, write an absolute value inequality to represent this situation.

Answer 1

The absolute value inequality to represent the situation is presented as follows;

`\left | w -400 \right |<10`

Explanation:

The given information are;

The number of words Annika needs to write = 400 words

The absolute deviation of the number of words Annika needs to write = 10 words

When we let the number of words Annika write = w, we have;

The absolute value inequality given that the absolute deviation of the number of words is 10 is given as follows;

`\left | w -400 \right |<10`

Therefore we have;

`\left | w -400 \right |<10` gives the statement, -10 < w - 400 < 10.