A solution is to be kept between 68°F and 77°F. What is the range… - Vidyadip

Question

A solution is to be kept between 68°F and 77°F. What is the range of temperature in degree Celsius (C) if the Celsius / Fahrenheit (F) convension formula is given by $F = \frac{9}{5}C + 32$

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Answer

It is given that 68° < F < 77°
Putting $F = \frac{9}{5}C + 32$, we have
$68^\circ < \frac{9}{5}C + 32 < 77^\circ $
$ \Rightarrow 36^\circ < \frac{{9C}}{5} < 45^\circ $$ \Rightarrow 180^\circ < 9C < 225^\circ $
$ \Rightarrow $ 20° < C < 25°
Thus the range of temperature between 20°C and 25°C

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