Question

Use an inequality to represent the corresponding Celsius temperature that is at or below 32° F.

Answer 1

Answer:

C ≤ 0

Explanations:

The given equation is:

`F\text{ = }(9)/(5)C\text{ + 32}`

Make C the subject of the equation

`\begin{gathered} F\text{ - 32 = }(9)/(5)C \\ 9C\text{ = 5(F - 32)} \\ C\text{ = }(5)/(9)(F-32) \end{gathered}`

At 32°F, substitute F = 32 into the equation above to get the corresponding temperature in °C

`\begin{gathered} C\text{ = }(5)/(9)(32-32) \\ C\text{ = }(5)/(9)(0) \\ C\text{ = 0} \end{gathered}`

The inequality representing the corresponding temperature that is at or below 32°F is C ≤ 0