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Subset

If U = 1, 3, ...

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}

A

and

B

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C

D

and

E

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A

and

D

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only

A

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Solution

The correct option is A $C$ , $D$ and $E$
Given $U = {1, 3, 5, 7, 9, 11, 13}, A = {0}, B = {2, 4}, C = {1, 9, 5, 13}, D = {5, 11, 1}, E = {13, 7, 9, 11, 5, 3, 1}, F = {2, 3, 4, 5}$
Now we have to find the subsets of $U$
Consider $A = {0}$
Since $0 \notin U, A ⊈ U$
Consider $B = {2, 4}$
Since $2, 4 \notin U, B ⊈ U$
Consider $C = {1, 9, 5, 13}$
Since $1, 9, 5, 13 \in U, C \subset U$
Consider $D = {5, 11, 1}$
Since $5, 11, 1 \in U, D \subset U$
Consider $E = {13, 7, 9, 11, 5, 3, 1}$
Since $13, 7, 9, 11, 5, 3, 1 \in U, E \subseteq U$
Consider $F = {2, 3, 4, 5}$
Since $2, 3, 4 \notin U, F ⊈ U$
Therefore $C, D, E$ are subsets of $U$ .

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Similar questions

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A = {2, 3, 5, 7, 11, 13}

B = {5, 7, 9, 11, 15}

are the subsets of

U = {2, 3, 5, 7, 9, 11, 13, 15}

, verify De Morgan's laws.

Use number line and add the following integers:

(a) 9 + (− 6)

(b) 5 + (− 11)

(d) (− 5) + 10

(e) (− 1) + (− 2) + (− 3)

(f) (− 2) + 8 + (− 4)

Q. Let

A = {1, 3, 4, 7, 11}

B = {1, 1, 2, 5, 7, 9}

and

f : A \to B

be given by

f

= {(1, 1), (3, 2), (4, 1), (7, 5), (11, 9)}

. Then

f

If
A = {1, 2, 3, 4}

B = {3, 4, 5, 6, 7}

C = {6, 7, 8, 9}

D = {7, 8, 9, 10}

$\begin{matrix} C o l u m n A & C o l u m n B 1. A \cup B & A . {3, 4, 6, 7} 2. A \cap B & B . \emptyset 3. (B \cap C) \cup D & C . {3, 4} 4. B \cup C \cup D & D . {3, 4, 5, 6, 7, 8, 9, 10} 5. (A \cap B) \cap (B \cup C) & E . {1, 2, 3, 4, 5, 6, 7} F . {6, 7, 8, 9, 10} G . {7} \end{matrix}$

Q. Sketch frequency polygon for the following table:

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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}

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}