Absolute value

1003049203

Level: 
C
Identify which of the statements is false.
\( \forall a\text{, }b\in\mathbb{R}\colon |a+b|=|a|+|b| \)
\( \forall a\text{, }b\in\mathbb{R}\colon |a\cdot b|=|a|\cdot|b| \)
\( \forall a\in\mathbb{R}\text{, }b\in\mathbb{R}\setminus\{0\}\colon|\frac ab|=\frac{|a|}{|b|} \)
\( a\in\mathbb{R}\colon |a|=|-a| \)