Incorrect. Think about which condition must exist for the other one to occur. A hypothesis of $\displaystyle{\left|{y}\right|}\ge{0}\usepackage{cmbright}\Huge\$ and $\displaystyle{\left|-{y}\right|}\ge{0}\usepackage{cmbright}\Huge\$ does not lead to the conclusion that y is a real number; for example, the variable y could represent a person's distance from home in any direction.