1. Identify and fully explain the absolute value equation below.

2. Then explain why the numbers not included in the solution set do not work.

|x| = x

Respuesta :

The absolute value equation is true for  x ≥ 0 and the negative values of x in the solution set would not work

The absolute value equation

The equation is given as:

|x| = x

The parent function of an absolute value equation is

f(x) = |x|

When f(x) = x and f(x) = x, it means that the absolute value equation is true from values of x greater than or equal to 0 i.e. x ≥ 0

Why the numbers in the solution set do not work?

In (a), we have:

x ≥ 0 --- the domain

This means that negative values of x in the solution set would not work

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