The formula for converting Fahrenheit temperatures to...

The formula for converting Fahrenheit temperatures to Celsius temperatures is $C=\frac{5}{9}(F-32) .$ Use this formula for Exercises 91 and 92. During a recent year, the temperatures in Chicago ranged from $-29^{\circ} \mathrm{C}$ to $35^{\circ} \mathrm{C}$. Use a compound inequality to convert these temperatures to Fahrenheit temperatures.

The formula for converting Fahrenheit temperatures to Celsius temperatures is $C=\frac{5}{9}(F-32) .$ Use this formula for Exercises 91 and 92.
During a recent year, the temperatures in Chicago ranged from $-29^{\circ} \mathrm{C}$ to $35^{\circ} \mathrm{C}$. Use a compound inequality to convert these temperatures to Fahrenheit temperatures.

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Key Concepts

Algebraic Manipulation of Inequalities

This key concept covers the systematic process of rearranging and solving inequalities. When converting a compound inequality using a linear function, each part of the inequality must be manipulated appropriately, ensuring that operations like addition, subtraction, multiplication, or division are applied to all parts of the inequality while preserving the inequality's direction.

Temperature Conversion Formula

This concept involves using a linear equation to convert temperatures from one scale to another—in this case, converting Fahrenheit to Celsius using the formula C = (5/9)(F - 32). It is essential for understanding the relationship between these two common temperature scales and for solving problems that require conversion between them.

Compound Inequality

A compound inequality represents a range of values that satisfy multiple inequality conditions at once. In the context of temperature conversion, it allows us to express the range of temperatures in one scale (e.g., Celsius) and convert them to the corresponding range in another scale (e.g., Fahrenheit) by applying the conversion formula to each boundary of the inequality.

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