Question

PLEASE HELP FOR EACH OF THE FIGURES, WRITE AN ABSOLUTE VALUE EQUATION

Answer 1

The solution set 0 and 8 are the true values of the absolute value equation

The absolute value equation that has the a solution set of 0 and 6 is |x - 3| = 3

How to determine the absolute value equation?

From the figure, the solution sets of the absolute value equation are given as:

x = {0, 6}

Calculate the mean of the solution set

Mean = 0.5 * (0 + 6)

Mean = 3

Calculate the difference of the solution set divided by 2

Difference = (6 - 0)/2

Difference = 3

The absolute value equation is the represented as:

|x - Mean| = Difference

Substitute known values

|x - 3| = 3

Hence, the absolute value equation that has the a solution set of 0 and 6 is |x - 3| = 3

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