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 = ($$\dfrac{9}{5}$$) C + 32?

Asked by Pragya Singh | 1 year ago |  194

##### Solution :-

According to the question,

The solution has to be kept between 68° F and 77° F

So, we get, 68° < F < 77°

Substituting,

($$\dfrac{9}{5}$$) C + 32

$$68 < \dfrac{9}{5}C + 32< 77$$

$$68-32 < \dfrac{9}{5}C + 32-32< 77-32$$

$$36< \dfrac{9}{5}C < 45$$

$$36\times \dfrac{5}{9}<\dfrac{9}{5}C\times \dfrac{5}{9} <45\times \dfrac{5}{9}$$

20 < C < 25

Hence, we get,

The range of temperature in degree Celsius is between 20° C to 25° C

Answered by Abhisek | 1 year ago

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