contestada

Determine whether each statement is always, sometimes, or never true. explain your reasoning. A. |x|=|-x| _________ B. |x|=-|x| _______ C. |-x|=-|x| _______

Respuesta :

A. [tex]|-x|=|x| \Rightarrow |x|=|-x|[/tex] always true

B. [tex]|x|\geq0 \quad \forall_{x\in \mathbb{R}}[/tex] so [tex]|x|=-|x|[/tex] is never true

C. same as B