Use these sets to find the following. Identify any disjoint sets.
-Let $\mathrm { U } = \{ 2,3,4,5,6,7,8,9,10,11,12 \} , \mathrm { M } = \{ 2,4,6,8 \} , \mathrm { N } = \{ 3,5,7,9,11 \} , \mathrm { Q } = \{ 2,4,6,8,10,12 \}$, and $\mathrm { R } = \{ 2,3,4,5 \}$.
Q $\cap R ^ { \prime }$
A) $\{ 5,6,7,8,9,10,11,12 \}$
B) $\varnothing , Q$ and $R ^ { \prime }$ are disjoint sets.
C) $\{ 4,6,8,10,12 \}$
D) $\{ 6,8,10,12 \}$

Question

Quizplus · Accepted Answer

$R'$ is the complement of $R$ in $U$, which includes all elements in $U$ not in $R$. Thus, $R' = \{6,7,8,9,10,11,12\}$. The intersection of $Q$ and $R'$ is $\{6,8,10,12\}$, since these are the elements common to both $Q$ and $R'$.

Use These Sets to Find the Following , And R={2,3,4,5}\mathrm { R } = \{ 2,3,4,5 \}R={2,3,4,5}

Use These Sets to Find the Following , And $\mathrm { R } = \{ 2,3,4,5 \}$