Question

Write an absolute value equation that has solution x = -6 and x = 10

Answer 1

|x - 2| = 8

Explanation:

The midpoint between -6 and 10 is;

(-6 + 10)/2 = 4/2 = 2

This means that the distance between 2 and either -6 or 10 will be 8.

Now, the absolute value equation will have to say that the distance between x and 2 is 8.

Thus, plugging those numbers into the pattern of |x - m| = b. Where m is the midpoint and b is the distance from midpoint to either values of x.

This gives us the absolute value equation:

|x - 2| = 8