Express in terms of an inequality involving an absolute valu

Express in terms of an inequality involving an absolute value.

The radius r of a ball bearing must be within 0.01cm of 1cm.

Solution

r mus lie within 0.01 of 1

So, this means, 1 - 0.01 < r < 1 + 0.01

0.99 < r < 1.01 is what we must express as an absolute value

We know that the mean of these values is 1

So, the bound on either side is 0.01

The abs val equation is of the form :

|x - mean| < bound

So,in this case, variable is r and it becomes :

|r - 1| < 0.01 ----> ANSWER