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Misc 11 - A solution is to be kept between 68 F and 77 F. What is the

Misc 11 - Chapter 6 Class 11 Linear Inequalities - Part 2
Misc 11 - Chapter 6 Class 11 Linear Inequalities - Part 3 Misc 11 - Chapter 6 Class 11 Linear Inequalities - Part 4


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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, Putting F = 68 68 = 9/5 C + 32 68 – 32 = 9/5 C 36 = 9/5 C C = 36 × 5/9 C = 4 × 5 C = 20 Putting F = 77 77 = 9/5 C + 32 77 – 32 = 9/5 C 45 = 9/5 C C = 45 × 5/9 C = 5 × 5 C = 25 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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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.