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Misc 11 - A solution is to be kept between 68F and 77F - Solving inequality - Statement questions

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  1. Chapter 6 Class 11 Linear Inequalities
  2. Serial order wise
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Misc 11 (Method 1) 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? F = 9﷮5﷯ C + 32 Given that the solution is to be kept between 68°F and 77°F, Hence, 20 < C < 25 Hence when value of F is between 68°F and 77°F, value of C is between 20 °C & 25 °C Misc 11 (Method 2) 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? We know that the solution is to be kept between 68°F and 77°F, Hence 68 < F < 77 Putting F = 9﷮5﷯ C + 32, 68 < 9﷮5﷯ C + 32 < 77 Subtracting 32 both sides (Eliminating 32) 68 – 32 < 9﷮5﷯ C + 32 – 32 < 77 – 32 36 < 9﷮5﷯ C < 45 Multiplying 5﷮9﷯ both sides (Eliminating 9﷮5﷯) 36 × 5﷮9﷯ < 9﷮5﷯ C × 5﷮9﷯ < 45 × 5﷮9﷯ 4 × 5 < C < 5 × 5 20 < C < 25 Hence , value of C is between 20 °C & 25 °C

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