Problem: Sign of expression

Problem

Find the sign of the following expressions for all \(x\)

  1. \(x+2\)
  2. \(x-2\)
  3. \(2x+4\)
  4. \(\left( x+2 \right)\left( x-2 \right)\)
  5. \( \frac{x+2}{x-2}\)
  6. \( \frac{x+2}{x-2}+1\)

Solution