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for each of the figures, write an absolute value equation that has the following solution set 3 and 7

Sagot :

MrRoyal

The solution set 3 and 7 are the true values of the absolute value equation

The absolute value equation that has a solution set of 3 and 7 is [tex]|x - 5| = 2[/tex]

How to determine the absolute value equation?

The solution sets of the absolute value equation are given as:

x = {3, 7}

Calculate the mean of the solutions

[tex]x_1 = \frac{7 +3}{2}[/tex]

[tex]x_1 = 5[/tex]

Calculate the difference of the solutions divided by 2

[tex]x_2 = \frac{7 - 3}{2}[/tex]

[tex]x_2 = 2[/tex]

The absolute value equation is the represented as:

[tex]|x - x_1| - x_2 = 0[/tex]

Substitute known values

[tex]|x - 5| - 2 = 0[/tex]

Add 2 to both sides

[tex]|x - 5| = 2[/tex]

Hence, the absolute value equation that has the a solution set of 3 and 7 is [tex]|x - 5| = 2[/tex]

Read more about absolute value equation at:

https://brainly.com/question/2166748

Answer:

|x-5|=2

Step-by-step explanation:

Calculate the mean of the solutions

Calculate the difference of the solutions divided by 2

The absolute value equation is the represented as:

Substitute known values

Add 2 to both sides

Hence, the absolute value equation that has the a solution set of 3 and 7 is

Read more about absolute value equation at:

brainly.com/question/2166748

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