Question

Solve each of the following equations. Show its solution set on a number line. Check your answers. |x+5|=−3

Answer 1

NO SOLUTION

If an absolute value equation has a negative on the other side, it is impossible

Answer 2

$\underbrace{|x + 5| }_{ \geqslant 0} = \underbrace{ - 3}_{ < 0}\Rightarrow x\in\emptyset$