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The formula for converting Fahrenheit​ temperature, F, to​ Celsius, C, is Cequalsfive ninths (Upper F minus 32 ). If Celsius temperature ranges from negative 28degreesC to 36degrees​C, ​inclusive, what is the range for the Fahrenheit​ temperature? Use a compound inequality.

Respuesta :

aimartinezm

Answer:

-18.4°F  < T(°F) < 96.8°F

Explanation:

The formula to convert Celsius to Fahrenheit is:

[tex]T_{F} = T_{C}*\frac{9}{5} + 32[/tex]

Replacing both temperatures in the range (-28°C and 36°C) we get:

[tex]T_{F} = (-28C)*\frac{9}{5} + 32 = -18.4F[/tex]

[tex]T_{F} = 36C*\frac{9}{5} + 32 = 96.8F[/tex]  

So, the range in Fahrenheit is:

-18.4°F  < T(°F) < 96.8°F