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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