Question 244742: Let Set 1 be the entire alphabet. Let Set 2 = {u, v, w, x, y, z}
a. What is the complement of Set 2 in Set 1?
b. Set 3 = {v, w, x, y}. Is Set 3 a proper subset of Set 2? Explain your reasoning
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! a) The complement of Set 2 in Set 1 is simply the set of every letter BUT the letters u, v, w, x, y, z are NOT in the set. So write out Set 1, then cross out those letters to form the complement of Set 2 in Set 1.
b) The question you should first ask is: Is set 3 a subset of set 2? All you need to do is see if every element of set 3 is in set 2. Since v, w, x, y (elements of set 3) are all members of set 2, this means that set 3 is indeed a subset of set 2. Because there are fewer elements in set 3 than set 2, this means that set 3 is a proper subset of set 2.
|
|
|
