Question

A solution is to be kept between 30°C and 35°C. What is the range of temperature in degree Fahrenheit?

Answer 1

Let x degree Fahrenheit be the temperature of the solution.

$$\begin{gathered} \mathrm{Then,}30°C<x°F<35°C \\ \mathrm{Now},F=\frac{9}{5}C+32 \\ \Rightarrow \frac{9}{5}\times 30+32<x°F<\frac{9}{5}\times 35+32 \\ \Rightarrow 54+32<x<63+32 \\ \Rightarrow 86°<x°<95° \\ \mathrm{Hence},\mathrm{the}\mathrm{range}\mathrm{of}\mathrm{the}\mathrm{temperature}\mathrm{in}\mathrm{Fahrenheit}\mathrm{is}\mathrm{between}86°\mathrm{and}95°. \end{gathered}$$