Question

You are looking at ads for a new bicycle. Theprice you want to pay is $200 with an absolutedeviation of at most $25. Write and solve anabsolute value inequality that represents theprice you want to pay.

Answer 1

In principle you want to pay $ 200 for the bike, so

`\begin{gathered} x=200 \\ x-200=0 \end{gathered}`

But since you want the price to have an absolute deviation of maximum $ 25, then

`|x-200|<25`

By properties of absolute value inequalities, you know that

[tex]|a|

So,

[tex]\begin{gathered} |x-200|<25 \\ -25