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 --------- 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 □

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
---------
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 $\square$
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Solution

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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.

Final Answer

Country F belongs in region IV.

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