Question

The formula for converting Fahrenheit temperature, F, to Celsius, C, is C = 5/9(F-32). If Celsius temperature ranges from -23 C to 32 C, inclusive whit is the range for the Fahrenheit temperature?Use a compound inequality.

Answer 1

The compound inequality for showing the range in Fahrenheit temperature is -9.4 F ≤ Temperature ≤ 89.6.

In the question, we are given that the formula for converting Fahrenheit temperature, F, to Celsius, C, is C = 5/9(F-32).

We are asked for the range for Fahrenheit temperature if the Celsius temperature ranges from -23 C to 32 C.

First, we will look for the formula for converting Celsius temperature, C to Fahrenheit, F, from the formula for converting Fahrenheit temperature, F, to Celsius, C, which is C = 5/9(F-32).

C = 5/9(F-32),

or, (9/5)C = F - 32,

or, F = (9/5)C + 32.

Now, the given range can be shown as the following inequality:

-23 C ≤ Temperature ≤ 32 C.

Using the new formula for converting Celsius temperature, C to Fahrenheit, F, F = (9/5)C + 32, we get:

(9/5)(-23) + 32 F ≤ Temperature ≤ (9/5)(32) + 32 F,

or, -9.4 F ≤ Temperature ≤ 89.6.

Thus, the compound inequality for showing the range in Fahrenheit temperature is -9.4 F ≤ Temperature ≤ 89.6.

Learn more about compound inequalities at

brainly.com/question/13064629

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