Question 787872: Write an absolute value equation that has -3 and 15 as its solutions. Found 2 solutions by solver91311, Edwin McCravy:Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website! Write an absolute value equation that has -3 and 15 as its solutions.
The absolute value of a difference between two numbers
is how far the two numbera are apart on a number line.
Here is a different explanation:
Any two numbers are the same distance on the number line from their
average. Here are the two values of x plotted on a number line.
----------x-----------------------------------------------------x---------
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
Both values differ in absolute value by the same amount from their average,
or midpoint, which is = = 6, indicated by "a"
below:
----------x--------------------------a--------------------------x---------
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
Each of the solutions x=-3 and x=15 differ in absolute value from their
average by 9 units. So set the absolute value of the difference
between x and the midpoint 6 equal to 9:
|x - 6| = 9
Edwin
