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 = 9/5 C + 32?

Solution:

Since the solution is to be kept between 68° F and 77° F, 68° < F < 77° F

Putting F = 9/5 C + 32, we obtain:

68 < 9/5 C + 32 < 77

⇒ 68 - 32 < 9/5 C < 77 - 32

⇒ 36 < 9/5 C < 45

⇒ 36 x 5/9 < C < 45 x 5/9

⇒ 20 < C < 25

Thus, the required range of temperature in degrees Celsius is between 20° C and 25° C

NCERT Solutions Class 11 Maths Chapter 6 Exercise ME Question 11

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 = 9/5 C + 32?

Summary:

Linear equations F = 9/5 C + 32 is given. We have found that the required range of temperature in degrees Celsius is between 20° C and 25° C