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. \( \frac{x+2}{x-2}<-1\)