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QuizMultiple Choice

Solving Absolute Value Equations

Question 1 • (OC27) MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006P

For water to be a liquid, its temperature must be within 50 Kelvin of 323 Kelvin. Which equation can be used to determine the minimum and maximum temperatures between which water is a liquid?

Answer
A
|323 – 50| = x
B
|323 + 50| = x
C
|x – 323| = 50
D
|x + 323| = 50

Explanation

“Within 50 Kelvin of 323 Kelvin” means the temperature x differs from 323 by at most 50. The absolute difference is written |x − 323|, so setting it equal to 50 gives the two boundary temperatures: 273 K and 373 K. Choice C, |x − 323| = 50, can be used to determine those minimum and maximum temperatures.

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