Use these sets to find the following. Identify any disjoint sets.
-Let $U = \{ 9,10,11,12,13,14,15,16,17,18,19 \} , M = \{ 9,11,13,15 \} , \mathrm { N } = \{ 10,12,14,16,18 \}$, $Q = \{ 9,11,13,15,17,19 \}$, and $R = \{ 9,10,11,12 \}$.
$\mathrm { Q } ^ { \prime } \cap \left( \mathrm { N } ^ { \prime } \cap \mathrm { U } \right)$
A) $\{ 10,11,12,13,14,15 \}$
B) $\{ 10,12,14,16,18 \}$
C) $\varnothing ; Q ^ { \prime }$ and $\left( N ^ { \prime } \cap U \right)$ are disjoint sets.
D) $\{ 9,11,13,15,17,19 \}$

Question

Quizplus · Accepted Answer

$Q'$ represents the complement of $Q$ in $U$, which includes all elements in $U$ that are not in $Q$. $N'$ represents the complement of $N$ in $U$, which includes all elements in $U$ that are not in $N$. Since $Q$ and $N$ contain all the elements between them in $U$ but do not share any elements (they are disjoint), their complements in $U$ will also be disjoint, meaning $Q'$ and $N' \cap U$ have no elements in common.

Use These Sets to Find the Following U={9,10,11,12,13,14,15,16,17,18,19},M={9,11,13,15},N={10,12,14,16,18}U = \{ 9,10,11,12,13,14,15,16,17,18,19 \} , M = \{ 9,11,13,15 \} , \mathrm { N } = \{ 10,12,14,16,18 \}U={9,10,11,12,13,14,15,16,17,18,19},M={9,11,13,15},N={10,12,14,16,18}

Use These Sets to Find the Following $U = \{ 9,10,11,12,13,14,15,16,17,18,19 \} , M = \{ 9,11,13,15 \} , \mathrm { N } = \{ 10,12,14,16,18 \}$