SOLUTION: A​ "normal" temperature for a certain animal is 91.2 degrees.If a temperature x that differs from the normal by at least 3.5 degrees is considered​ unhealthy, write the

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A​ "normal" temperature for a certain animal is 91.2 degrees.If a temperature x that differs from the normal by at least 3.5 degrees is considered​ unhealthy, write the      Log On


   



Question 1122846: A​ "normal" temperature for a certain animal is 91.2 degrees.If a temperature x that differs from the normal by at least 3.5 degrees is considered​ unhealthy, write the condition for an unhealthy temperature x as an inequality involving an absolute​ value, and solve for x. Write the condition for an unhealthy temperature x as an inequality involving an absolute value.

Answer by ikleyn(52879) About Me  (Show Source):
You can put this solution on YOUR website!
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The inequality the problem asks for is THIS :


    |T - 91.2| >= 3.5.


Its solutions are the sets of the temperature T values that are remoted from 91.2 at least by 3.5.


These values fall in two sets:  a)  T <= 91.2-3.5 = 87.7,   and  b)  T >= 91.2+3.5 = 94.7.


Answer.  The solution is the union of these two sets  {T <= 87.7} U {T >= 94.7}.

Solved.