What is the relation between arithmetic mean (AM) and geometric mean (GM)?

✓
AM ≥ GM

×
AM = GM

×
AM ≤ GM
What is the relation between arithmetic mean (AM) and geometric mean (GM)?
AM ≥ GM
AM = GM
AM ≤ GM
AM: \dfrac{a+b}{2}
GM: \sqrt{ab}
\dfrac{a+b}{2}≥\sqrt{ab}
Therefore,
AM ≥ GM