Questions: This table shows the top 10 countries for production of corn, rice, and wheat in a recent year. The universal set is the set of all countries in the world. Indicate in which region, I-VIII in the figure, country F belongs.
Corn Rice Wheat
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1. S 1. H 1. E
2. N 2. C 2. H
3. M 3. B 3. K
4. Q 4. G 4. L
5. F 5. P 5. T
6. L 6. D 6. A
7. T 7. R 7. J
8. G 8. K 8. Q
9. P 9. W 9. S
10. K 10. Q 10. F
Country F belongs in region □
Transcript text: This table shows the top 10 countries for production of corn, rice, and wheat in a recent year. The universal set is the set of all countries in the world. Indicate in which region, I-VIII in the figure, country F belongs.
\begin{tabular}{|c|c|c|}
\hline Corn & Rice & Wheat \\
\hline 1. S & 1. H & 1. E \\
\hline 2. N & 2. C & 2. H \\
\hline 3. M & 3. B & 3. K \\
\hline 4. Q & 4. G & 4. L \\
\hline 5. F & 5.P & 5. T \\
\hline 6. L & 6. D & 6. A \\
\hline 7. T & 7.R & 7. J \\
\hline 8. G & 8. K & 8. Q \\
\hline 9. P & 9. W & 9. S \\
\hline 10. K & 10. Q & 10. F \\
\hline
\end{tabular}
Country F belongs in region $\square$
Solution
Solution Steps
Step 1: Identify the sets
Corn: S, N, M, Q, F, L, T, G, P, K
Rice: H, C, B, Q, P, D, R, K, W, Q
Wheat: E, H, K, L, T, A, J, Q, S, F
Step 2: Determine the intersection of sets
Corn and Rice: Q, P, K
Corn and Wheat: Q, L, T, F
Rice and Wheat: H, K, Q
Step 3: Identify the region for country F
Country F is in the Corn and Wheat sets but not in the Rice set.