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Chapter 0: Problem 32

At normal atmospheric pressure, water boils at all temperatures of 100 degrees Celsius and higher. Write an interval to represent the temperatures (in degrees Celsius) at which water boils.

Short Answer

Expert verified
The interval representing the temperatures at which water boils is \([100, \infty)\).

Step by step solution

01

Identify the lower bound of the interval

The lower bound of the interval is the lowest temperature at which water boils, which is 100 degrees Celsius.
02

Determine if the lower bound is included in the interval

Since water boils at exactly 100 degrees Celsius, the lower bound should be included in the interval. To indicate this, we use a closed bracket [.
03

Identify the upper bound of the interval

Since water continues to boil at all temperatures above 100 degrees Celsius, there is no precise upper bound to the boiling temperature. In this case, the upper bound is infinity (鈭�).
04

Determine if the upper bound is included in the interval

Infinity is never included in any interval, so the fourth step is to use an open parenthesis ( to indicate that infinity is not included.
05

Write the final interval notation

Combining the information from the above steps, the interval notation for the temperatures at which water boils is \([100, \infty)\).

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