A persons normal body temperature is  . According to physicians, a persons body temperature should not be more than  from the normal temperature. How could you use an absolute value inequality to represent the temperatures that fall outside of normal range. Explain.

The correct answer is: Thus, the equation representing the given situation is 𝑥 − 98.6 > 0.5

Step by step solution:
Given,
Let the body temperature of a person be x
Normal body temperature = 98.6 F
Error that is allowed in normal temperature = 0.5 F
We form an equation in terms of body temperature.
The normal body temperature is either smaller than (98.6 - 0.5) or greater than (98.6+0.5) in farenheit.
We need to form an absolute inequality to represent the temperatures that fall outside of normal range.
We can write the above temperatures as

 

And

 
We can rewrite the above equations as

And

 
We combine the above two cases to get the following equation.
Thus, the equation representing the given situation is

 

Absolute value of a variable has many uses in mathematics. Geometrically, the absolute value of a number may be considered as
its distance from zero regardless of its direction. The symbol |.| is pronounced as ‘modulus’. We read |x| as ‘modulus of x’ or ‘mod x’.