Wednesday, March 30, 2011

During an illness, a patient's body tempT satisfied the inequality |T - 98.6| £ 2. Find lowest temp patient could have had during llness.

The temperature of the patient is given by the relation,
|T-98.6| < = 2.


To find the lowest temperature the
patient had during the illness.


|T-98.6| < =
2


Therefore  for  T > 98.6 , the relation is T -98.6
< = 2. Or


T < = 96.6+2 = 98.6 . But this
solution of T is not giving us the required information , as it gives the information of
maximum temperature.


So we gor for T < =
98.6.


When T< =98.6 , the relation |T-98.6| <
2 implies 98.6 -T < 2. Or


98.6 - T+T <
= 2+T.


98.6 < =2+T


98.6
-2 < = 2-2 +T


96.6 < =
T.


Therefore this gives the information that lowest
temperature the patient had was 96.6 during his illness.

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