In an experiment, a solution of hydrochloric acid is to be kept between `30^circ`and `35^circ` celsius. What is the range of temperature in degree Fahrenheit if conversion formula is given by `C = 5/9(F -32)`, where C and F represent temperature in deg Celsius and degree Fahrenheit, respectively.

Explanation

Given that `30 < C < 35`.

Put `C = 5/9(F-32)`

`implies 30<5/9 (F - 32)<35`

`implies 9/5 xx 30<(F - 32)<9/5 xx 35`

`implies 54<(F - 32)<63`

`implies 54+32 < F < 63+32`

`implies 86 < F < 95`

Thus, the required range of temperature is between `86^circ` F and `95^circ` F.