Consider an arbitrary simple polygon P. Two points p and q inside P (i.e., in the interior or on the boundary of P) are said to be visible from each other if the line segment between p and q does not intersect the exterior of P. Let v and w be two arbitrary points inside P. We want to consider the validity of the following two implications: If every vertex of P is visible from v, then every point inside P is also visible from v. If every vertex of P is visible from v or w, then every point inside P is visible from v or w. Which of the following statements is true?
1) 1 is true, but 2 is false
2) It is inconclusive
3) 1 and 2 are both true
4) 1 and 2 are both false