I need help with 2 questions and these are the instructions;
Write an absolute value equation that has the given solutions.
1.) x= -6 and x=10
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2.) x= -10 and x= -5
To find an absolute value equation that has the solutions -6 and 10:
First: find the midpoint between these numbers (their average): (-6 + 10) / 2 = 4/2 = 2
The average can be either a positive number or a negative number.
Second: find the distance between this average and either of the numbers: the distance from 2 to 10 is 8.
Remember: the distance must be a positive number.
Finally: place these numbers into this equation: | x - average | = distance ---> | x - 2 | = 8 <--- the answer
Now, can you do problem #2?