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Sum

A solution is to be kept between 40°C and 45°C. What is the range of temperature in degree fahrenheit, if the conversion formula is F = `9/5` C + 32?

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#### Solution

Let temperature in Celsius be C.

Let temperature in Fahrenheit be F.

Solution should be kept between 40°C and 45°C.

⇒ 40° < C < 45°

Multiplying each term by `9/5`, we get,

⇒ 72° < `9^circ/5`C < 81°

Adding 32° to each term, we get,

⇒ 104° < `9^circ/5` C + 32° < 113°

⇒ 104° < F < 113°

Hence, the range of temperature in Fahrenheit should be between 104°F and 113°F.

Concept: Inequalities - Introduction

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