Write an absolute value equation that has the solutions x=2.5, x=-3.5

You can develop an equation by thinking about how absolute value is used for distances between two numbers.the number that is between -3.5 and 2.5 is the average number between the two:     avg = (-3.5 + 2.5)/2 = -0.5the distance between the middle of -0.5  and 2.5 is the same as the distance between the middle of  -0.5  and -3.5.    distance = | 2.5 - (-0.5) | or | -3.5 - (-0.5) |                      = |  2.5 + 0.5 | or |  -3.5 + 0.5  |  and that distance is equal to 3.so a possible equation is    |x + 0.5| = 3and this has solutions of x = -3.5 and x = 2.5 as demonstrated above

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