3. for each z e (0, 2), let iz = (, t2). show that the family = {i» : a e (0, 2)} is an open cover of the set s = {r e r: 0 < a < 2}. show that no finite subcol

3. For each z e (0, 2), let Iz = (, t2). Show that the family = {I» : a E (0, 2)} is an open cover of the set S = {r e R: 0 < a < 2}. Show that no finite subcollection of G can cover S. [Hint. Let cE S. Then 0