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Question
A solution is to be kept between 68° F and 77° F. What is the range in temperature in degree Celsius (C) if the Celsius/Fahrenheit (F) conversion formula is given by `F= 9/8` C + 32?
Solution
Since the solution is to be kept between 68°F and 77°F, 68 < F < 77
Putting `F = 9/5 C + 32` we obtain
68° < F < 77°
⇒ 68° < `9/5` C + 32° < 77°
68° - 32° < `9/5` C < 77° - 32°
36° < `9/5` C < 45°
`36 xx 5/9 < C < 45 xx 5/9`
20° < C < 25°
Thus, the required range of temperature in degree Celsius is between 20°C and 25°C
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