Question

The normal body temperature of a camel is 37°C. This temperature varies by up to 3°C throughout the day. Write and solve an absolute value inequality that represents the range of normal body temperatures (in degrees Celsius) of a camel throughout the day.

Answer 1

The normal body temperature : to = 37° C
An inequality is:
| t - to | ≤ 3
| t - 37 | ≤ 3
t - 37 ≤ 3     AND  ( - t - 37 ) ≤ 3
t ≤ 3 + 37               - t + 37 ≤ 3
t ≤ 40                     - t ≤ 3 - 37
                              - t ≤ - 34   / *( - 1 )
                                t ≥ 34
Answer t ∈ [  34°C,  40° C ].