When $\displaystyle{x}={1}\usepackage{cmbright}\Huge\$ and $\displaystyle{y}=-{1}\usepackage{cmbright}\Huge\$ are substituted into the two inequalities, they produce the false statements $\displaystyle-{1}>{1}\usepackage{cmbright}\Huge\$ and $\displaystyle{1}+{\left(-{1}\right)}>{0}\usepackage{cmbright}\Huge\$ .