Strong Tits alternatives for compact 3-manifolds with boundary

We show that the fundamental group of a compact orientable irreducible 3-manifold with boundary is either virtually abelian or has a finite index subgroup that surjects onto a non-abelian free group. We also show that the fundamental group of a compact orientable 3-manifold with boundary whose components are not all spheres is either virtually abelian or is SQ-universal.