Question

Please help me!!!Will get brainliest!!!What is your answer and why? Also show work. |x|=-3

Answer 1

There are no solutions. $|a|$ gives the absolute value of the number $a$, defined by

$|a|=\begin{cases}a&\text{for }a\ge0\\-a&\text{for }a$

That is, if $a$ is not negative, then $|a|=a$; otherwise, if $a$ is a negative number - let's call it $a=-b$, where $b$ is a non-negative number - then we negate it to get $|a|=|-b|=-(-b)=b=-a$ so that $|a|$ is still non-negative.

Long story short, $|x|$ can never take on a negative value, so there are no solutions to $|x|=-3$ for $x$.