Question

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Answer 1

Answer:

The solution set to the absolute value is:

$S = \{x \in \mathbb{R}| x \ge 0\}$ or $S = [0, +\infty)$

Negative real numbers are not included in the solution set, as for $x < 0$, $|x| = - x$.

Step-by-step explanation:

From Mathematics, we know that absolute values are defined by the following characteristics:

1) For $x \ge 0$, $|x| = x$

2) For $x < 0$, $|x| = - x$

Then, if $|x| = x$, then the solution set to the absolute value is:

$S = \{x \in \mathbb{R}| x \ge 0\}$ or $S = [0, +\infty)$

Negative real numbers are not included in the solution set, as for $x < 0$, $|x| = - x$.