Use these sets to find the following. Identify any disjoint sets.
-Let $\mathrm { U } = \{ 8,9,10,11,12,13,14,15,16,17,18 \} , \mathrm { M } = \{ 8,10,12,14 \} , \mathrm { N } = \{ 9,11,13,15,17 \}$, $Q = \{ 8,10,12,14,16,18 \}$, and $R = \{ 8,9,10,11 \}$.

$\varnothing \cup \mathrm { N }$
A) $\{ 8,9,10,11,12,13,14,15,16,17,18 \}$
B) $\mathrm { N }$, or $\{ 9,11,13,15,17 \}$; $\mathrm { N }$ and $\varnothing$ are disjoint sets.
C) $\{ 10,12,14,16,18 \}$
D) $\varnothing ; N$ and $\varnothing$ are disjoint sets.

Question

Use these sets to find the following. Identify any disjoint sets.
-Let $\mathrm { U } = \{ 8,9,10,11,12,13,14,15,16,17,18 \} , \mathrm { M } = \{ 8,10,12,14 \} , \mathrm { N } = \{ 9,11,13,15,17 \}$, $Q = \{ 8,10,12,14,16,18 \}$, and $R = \{ 8,9,10,11 \}$.

$\varnothing \cup \mathrm { N }$
A) $\{ 8,9,10,11,12,13,14,15,16,17,18 \}$
B) $\mathrm { N }$, or $\{ 9,11,13,15,17 \}$; $\mathrm { N }$ and $\varnothing$ are disjoint sets.
C) $\{ 10,12,14,16,18 \}$
D) $\varnothing ; N$ and $\varnothing$ are disjoint sets.

Quizplus · Accepted Answer

The union of any set with the empty set $\varnothing$ is the set itself. Therefore, $\varnothing \cup \mathrm { N } = \mathrm { N }$, and since $\varnothing$ has no elements, it is disjoint with any non-empty set, including $\mathrm { N }$.

Use These Sets to Find the Following U={8,9,10,11,12,13,14,15,16,17,18},M={8,10,12,14},N={9,11,13,15,17}\mathrm { U } = \{ 8,9,10,11,12,13,14,15,16,17,18 \} , \mathrm { M } = \{ 8,10,12,14 \} , \mathrm { N } = \{ 9,11,13,15,17 \}U={8,9,10,11,12,13,14,15,16,17,18},M={8,10,12,14},N={9,11,13,15,17}

Use These Sets to Find the Following $\mathrm { U } = \{ 8,9,10,11,12,13,14,15,16,17,18 \} , \mathrm { M } = \{ 8,10,12,14 \} , \mathrm { N } = \{ 9,11,13,15,17 \}$