Use these sets to find the following. Identify any disjoint sets.
-Let $\mathrm { U } = \{ 3,4,5,6,7,8,9,10,11,12,13 \} , \mathrm { M } = \{ 3,5,7,9 \} , \mathrm { N } = \{ 4,6,8,10,12 \} , \mathrm { Q } = \{ 3,5,7,9,11,13 \}$, and $R = \{ 3,4,5,6 \}$.
$\mathrm { Q } ^ { \prime } \cap \left( \mathrm { N } ^ { \prime } \cap \mathrm { U } \right)$
A) $\{ 4,6,8,10,12 \}$
B) $\{ 3,5,7,9,11,13 \}$
C) $\{ 4,5,6,7,8,9 \}$
D) $\varnothing ; Q ^ { \prime }$ and $\left( N ^ { \prime } \cap U \right)$ are disjoint sets.

Question

Quizplus · Accepted Answer

Given the universal set $U$, $Q'$ represents the complement of $Q$ in $U$, which includes all elements in $U$ not in $Q$. Similarly, $N'$ represents the complement of $N$ in $U$, including all elements in $U$ not in $N$. The intersection of $Q'$ and $N'$ within $U$ would ideally include elements not in $Q$ and not in $N$ but still within $U$. However, since $Q$ and $N$ together cover all elements of $U$, their complements within $U$ do not share any common elements, making them disjoint sets.

Use These Sets to Find the Following , And R={3,4,5,6}R = \{ 3,4,5,6 \}R={3,4,5,6}

Use These Sets to Find the Following , And $R = \{ 3,4,5,6 \}$