Answer:
[tex]\large\boxed{d>0\to d\in(0,\ \infty)\to d\in\mathbb{R^+}}[/tex]
Step-by-step explanation:
[tex]5+d>5-d\qquad\text{subtract 5 from both sides}\\\\5-5+d>5-5-d\\\\d>-d\qquad\text{add}\ d\ \text{to both sides}\\\\d+d>-d+d\\\\2d>0\qquad\text{divide both sides by 2}\\\\\dfrac{2d}{2}>\dfrac{0}{2}\\\\d>0[/tex]