Question:
A solution is to be kept between 40°C and 45°C. What is the range of temperature in degree Fahrenheit, if the conversion formula is F = 9/5 C + 32?
Solution:
Let temperature in Celsius be C
Let temperature in Fahrenheit be F
According to the question,
Solution should be kept between 40° C and 45°C
⇒ 40 < C < 45
Multiplying each term by 9/5, we get
⇒ 72 < 9/5 C < 81
Adding 32 to each term, we get
⇒ 104 < 9/5 C + 32 < 113
⇒ 104 < F < 113
Hence, the range of temperature in Fahrenheit should be between 104° F and 113° F.