In a songwriting competition, the minimum length of a song is 2.5 minutes. The maximum length of a song is 5.5 minutes. Write an
2 answers:
Answer:
The required absolute value equation that has these minimum and maximum lengths as its solutions is |x-4| = 1.5
Step-by-step explanation:
Consider the provided information.
In a songwriting competition, the minimum length of a song is 2.5 minutes. The maximum length of a song is 5.5 minutes.
Let x is the length of song.
The range is 2.5 to 5.5
Find the mid point of the range as shown:
Thus, for every x the inequality holds:
2.5 = x or x = 5.5
Subtract 4 from each sides.
2.5 - 4 = x - 4 or x - 4 = 5.5 - 4
-1.5 = x - 4 or x - 4 = 1.5
This can be written as:
|x-4| = 1.5
Hence, the required absolute value equation that has these minimum and maximum lengths as its solutions is |x-4| = 1.5
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