Which of the following pairs of sets are comp | vedclass

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(B) Two sets $A$ and $B$ are said to be comparable if $A \subseteq B$ or $B \subseteq A$.$(a)$ $1 \in A$ but $1 
otin B$ and $6 \in B$ but $6 
otin

Vedclass · Accepted Answer

$A=\{x: x \in N 	ext{ and } x \leq 10\}$ and $B=\{1, 2, 3, \dots, 10, 11\}$

Vedclass · Answer

(B) Two sets $A$ and $B$ are said to be comparable if $A \subseteq B$ or $B \subseteq A$.$(a)$ $1 \in A$ but $1 
otin B$ and $6 \in B$ but $6 
otin A$. Thus,$A 
ot\subseteq B$ and $B 
ot\subseteq A$. Therefore,they are not comparable.$(b)$ $A = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\}$ and $B = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11\}$. Since every element of $A$ is in $B$,$A \subset B$. Therefore,$A$ and $B$ are comparable.$(c)$ $\{4, 5\} \in A$ but $\{4, 5\} 
otin B$ and $4 \in B$ but $4 
otin A$. Thus,$A 
ot\subseteq B$ and $B 
ot\subseteq A$. Therefore,they are not comparable.

Which of the following pairs of sets are comparable?

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