Problem: solving inequalities using sign diagrams

Problem

Find what values of $x$ satisfy

1. $x+2>0$
2. $x-2≤0$
3. $2x+4≥0$
4. $\left( x+2 \right)\left( x-2 \right)<0$
5. $\frac{x+2}{x-2}≤0$
6. $\frac{x+2}{x-2}<-1$