Question

If U = {1, 3, 5, 7, 9, 11, 13}, then which of the following are subsets of U. B = {2, 4} A = {0} C = {1, 9, 5, 13} D = {5, 11, 1} E = {13, 7, 9, 11, 5, 3, 1} F = {2, 3, 4, 5} 2. Let A = {2, 3, 4, 5, 6, 7} B = {2, 4, 7, 8) C = {2, 4}.​

Answer 1

Answer:

E

Step-by-step explanation:

because subsets means the set of which all the elements are contained in another set

Answer 2

We need to recall the following definitions.

• A subset is a set that contains part of the elements of a set or all the elements of a set.
• The null set is a subset of any set.
• Every set is a subset of itself.

Given:

$U=\{1,3,5,7,9,11,13\}$ is a set.

$A=\{0\}$ , $B=\{2,4\}$ , $C=\{1,9,5,13\}$ , $D=\{5,11,1\}$ , $E=\{13,7,9,11,5,3,1\}$, $F=\{2,3,4,5\}$

To Do: Check whether the sets $A,B,C,D,E,F$ are the subsets of the set $U$ or not.

$A=\{0\}$

Since $0\notin U$ .

Hence, $A$ is not a subset of $U$.

$B=\{2,4\}$

Since $2,4\notin U$.

Hence, $B$ is not a subset of $U$.

$C=\{1,9,5,13\}$

Since $1,5,9,13\in U$.

Hence, $C$ is a subset of $U$.

$D=\{5,11,1\}$

Since $1,5,11\in U$.

Hence, $D$ is a subset of $U$.

$E=\{13,7,9,11,5,3,1\}$

Since $1,3,5,7,9,11,13\in U$.

Hence, $E$ is a subset of $U$.

$F=\{2,3,4,5\}$

Since $2,4\notin U$.

Hence, $F$ is not a subset of $U$.

Sets $C,D,E$ are the subsets of the set  $U$.