NCERT Class XI Mathematics - Linear Inequalities - Solutions

Question : 62

Total: 65

A solution is to be kept between 68°F and 77°F. What is the range in temperature in degree celcius (C) if the celsius/Fahrenheit (F) conversion formula is given by F =

C + 32 ?

Solution:

We have, F =

C + 32
but, 68 < F < 77
∴ 68 <

C + 32 < 77
Subtracting 32 from each side, we get
- 32 <

C + 77 - 32 ⇒ 36 <

C < 45
Multiplying each side by 5/9, we get 36 ×

< C < 45 ×

⇒ 20 < C < 25
∴ Required temperature is between 20°C and 25°C.

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