Answer to Question #307284 in Discrete Mathematics for Ilene

Question

Suppose that A = {1,3,5}, B = {1,5}, C = {3,7}, and D = {1,3}. Determine which of these sets are subsets of

which other of these sets.

Answer 1

Solution

1. We can see that all the elements of set B are in set $A$. Therefore, set $B$ is the subset of set$A$. We can write it as $B \subseteq A\$
2. We can see that all the elements of set D are in set $A$. Therefore, set D is the subset of set $A$. We can write it as $D \subseteq A\$
3. We can see that all the elements of set C are not in set $A$, therefore, set C is not a subset of set $A$.
4. For set C and set D, we can see that all their elements are not in set $B$, Therefore, both C and D are not the subsets of set B.
5. The same holds for C and D, that is set D is not the subset of set C.