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NCERT Class XI Mathematics - Linear Inequalities - Solutions
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Question : 62 of 65
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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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