Chapter 2.6, Problem 20E

To determine

To write:an absolute valueinequality that represents the range of normal degree temperatures (in degrees Celsius) of a camel throughout the day.

Answer to Problem 20E

  $\left|T-37\right|\le 3$

Explanation of Solution

Given information:

Normal temperature of camel = $37°C$

This temperature can vary by up to $3°C$ .

Let T denotes temperature (in degrees Celsius) of a camel throughout the day.

Now it is given thatthe normal temperature of camel is $37°C$ and it can vary from by up to $3°C$ . Thus, the required absolute value inequality is:

  $\left|T-37\right|\le 3$

Now consider,

  $\begin{array}{c}\left|T-37\right|\le 3\\ -3\le T-37\le 3\\ -3+37\le T-37+37\le 3+37\\ 34\le T\le 40\end{array}$

The solution is $34\le T\le 40$ .