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 $R = \{ 3,4,5,6 \}$.
$\varnothing \cup N$
A) $\varnothing ; \mathrm { N }$ and $\varnothing$ are disjoint sets.
B) $\{ 5,7,9,11,13 \}$
C) $\mathrm { N }$, or $\{ 4,6,8,10,12 \} ; \mathrm { N }$ and $\varnothing$ are disjoint sets.
D) $\{ 3,4,5,6,7,8,9,10,11,12,13 \}$

Question

Quizplus · Accepted Answer

The union of any set with the empty set $\varnothing$ is the set itself, making $\varnothing \cup N = N$. Disjoint sets have no elements in common, and since $\varnothing$ has no elements, it is disjoint with any non-empty set, including $N$.

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 $R = \{ 3,4,5,6 \}$