Inequality Word Prob: The time study was conducted to deter

[SCSmith]

The time study was conducted to determine the length of time required to perform a task in a manufacturing process. The times required by approximately two-thirds of the workers in th study satisfied the inequality

|t - 15.6/1.9| <= 1

where t is time in minutes. What are the maximum and minimum times?

Is this the right set up? And if so, is this the right order of operations and solution?

-1<= 2/3(t-15.6/1.9) <= 1

-1 <= 2/3(t - 15.6) <= 1 Cancel the 1.9 by Multiplying by its reciprocal.
-1 <= 2/3t - 31.2/3 <= 1 I get lost at this point.

 

[pka]

\(\displaystyle \L\left| {t - \frac{{15.6}}{{1.9}}} \right| \le 1\quad \Rightarrow \; - 1 + \frac{{15.6}}{{1.9}} \le t \le 1 + \frac{{15.6}}{{1.9}}\)