The lists below show five agricultural crops in Alabama, Arkansas, and Louisiana.
$\begin{array} { l l l }
\underline { \text { Alabama } } & \underline { \text { Arkansas } } & \underline { \text { Louisiana } } \
\hline \text { soybeans (s) } & \text { soybeans (s) } & \text { soybeans (s) } \
\text { peanuts (p) } & \text { rice (r) } & \text { sugarcane (n) } \
\text { corn (c) } & \text { cotton (t) } & \text { rice (r) } \
\text { hay (h) } & \text { hay (h) } & \text { corn (c) } \
\text { wheat (w) } & \text { wheat (w) } & \text { cotton (t) }
\end{array}$
Let U be the smallest possible universal set that includes all of the crops listed, and let A, K and L be the sets of five crops
in Alabama, Arkansas, and Louisiana, respectively. Find each of the following sets.
-The set of crops in both A' and K'
A) $\varnothing$
B) $\{ n \}$
C) $\{ c , p , r , t \}$
D) $\{ c , n , p , r , t \}$

Question

The lists below show five agricultural crops in Alabama, Arkansas, and Louisiana. 
$\begin{array} { l l l } 
\underline { \text { Alabama } } & \underline { \text { Arkansas } } & \underline { \text { Louisiana } } \
\hline \text { soybeans (s) } & \text { soybeans (s) } & \text { soybeans (s) } \
\text { peanuts (p) } & \text { rice (r) } & \text { sugarcane (n) } \
\text { corn (c) } & \text { cotton (t) } & \text { rice (r) } \
\text { hay (h) } & \text { hay (h) } & \text { corn (c) } \
\text { wheat (w) } & \text { wheat (w) } & \text { cotton (t) }
\end{array}$
 Let U be the smallest possible universal set that includes all of the crops listed, and let A, K and L be the sets of five crops
in Alabama, Arkansas, and Louisiana, respectively. Find each of the following sets.
-The set of crops in both A' and K' 
A) $\varnothing$
B) $\{ n \}$
C) $\{ c , p , r , t \}$
D) $\{ c , n , p , r , t \}$

Quizplus · Accepted Answer

A' and K' refer to the complements of sets A and K, respectively, within the universal set U. The universal set U consists of all the crops listed across Alabama, Arkansas, and Louisiana: {s, p, c, h, w, r, t, n}. A' includes the crops not in Alabama (r, t, n), and K' includes those not in Arkansas (p, c, n). The intersection of A' and K' is {n}, which is the crop not present in either Alabama or Arkansas but is in Louisiana.

The Lists Below Show Five Agricultural Crops in Alabama, Arkansas