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Under standard atmospheric conditions, water will not remain a liquid if its temperature is less than or equal to 0°C or if it is greater than or equal to 100°C. Suppose you have a cup of water that is room temperature, or 20°C.

a. Write a compound inequality to represent the number of degrees of Celsius c that the temperature of the cup must change to longer be liquid.

User Bocajim
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2 Answers

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19 votes

Final answer:

The compound inequality representing the temperature change required for water at 20°C to no longer be a liquid is -20 ≤ c ≤ 80. This shows that the water can either cool by up to 20°C to freeze or heat up by up to 80°C to boil.

Step-by-step explanation:

To answer the student's question, let's consider the conditions at which water changes states. The temperature of water must remain between 0°C and 100°C for it to stay in its liquid form. Therefore, if the temperature of the cup of water, which is currently at 20°C, changes beyond these bounds, it will no longer be a liquid; it will freeze if it drops to 0°C or below, or it will boil if it rises to 100°C or above.

The compound inequality that represents the number of degrees Celsius c that the temperature of the cup must change to no longer be liquid is:

-20 ≤ c ≤ 80

This inequality means that the temperature of the water must decrease by up to 20°C to reach the freezing point, or it must increase by up to 80°C to reach the boiling point.

User Jakub Jirutka
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23 votes
23 votes

Ur mom

Anyways it would be 74 cilces and 4 farnheight

User JunYoung Gwak
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