High School

Mason's pet leopard gecko must be kept in a cage with a temperature of at least 82 degrees F. What is the correct inequality to describe this condition?

A. < 82
B. = 82
C. > 82
D. ≤ 82

Answer :

Final answer:

The correct inequality for the gecko cage's temperature is c) > 82, which indicates the temperature should be higher than 82 degrees Fahrenheit. Room temperatures of 68.0°F and 78.0°F convert to approximately 20.0°C and 25.6°C, respectively, using the formula C = (F - 32) × 5/9.

Explanation:

The inequality to express that Mason's pet leopard gecko must be kept in a cage with a temperature of at least 82 degrees Fahrenheit is c) > 82. This means that the temperature should be greater than 82 degrees Fahrenheit to ensure the gecko's health and comfort. In other words, the cage's temperature needs to be more than 82 degrees but can be equal to it as well. As for the conversion from Fahrenheit to Celsius, the formula is C = (F - 32) × 5/9. So, for a room temperature of 68.0°F in the winter, the equivalent in Celsius is approximately 20°C (68 - 32) × 5/9), and for 78.0°F in the summer, it is about 25.6°C ((78 - 32) × 5/9).