单选题Which of the following choices could be equal to set Z ifX = {2, 5, 6, 7, 9} and Y = {2, 5, 7}X ∪ Y ∪ Z = {1, 2, 3, 4, 5, 6, 7, 8, 9}X ∩ Z = {2, 6}Y ∩ Z = {2}AZ= {1, 4, 8}BZ= {1, 3, 8}CZ= {1, 3, 4, 8}DZ= {1, 2, 3, 4, 6, 8}EZ= {1, 2, 3, 5, 6, 8}
单选题
Which of the following choices could be equal to set Z ifX = {2, 5, 6, 7, 9} and Y = {2, 5, 7}X ∪ Y ∪ Z = {1, 2, 3, 4, 5, 6, 7, 8, 9}X ∩ Z = {2, 6}Y ∩ Z = {2}
A
Z= {1, 4, 8}
B
Z= {1, 3, 8}
C
Z= {1, 3, 4, 8}
D
Z= {1, 2, 3, 4, 6, 8}
E
Z= {1, 2, 3, 5, 6, 8}
参考解析
解析：
We know that: X = {2, 5, 6, 7, 9} and Y = {2, 5, 7}, X ∪ Y ∪ Z = {1, 2, 3, 4, 5, 6, 7, 8, 9}. This tells us that Z must contain {1, 3, 4, 8} because these elements are in the union of X, Y, and Z but not in set X and not in set Y.
We also know that: X ∩ Z = {2, 6}, Y ∩ Z = {2}. This tells us that Z must also contain {2, 6}. Only choice D contains all these elements. Z = {1, 2, 3, 4, 6, 8}
We know that: X = {2, 5, 6, 7, 9} and Y = {2, 5, 7}, X ∪ Y ∪ Z = {1, 2, 3, 4, 5, 6, 7, 8, 9}. This tells us that Z must contain {1, 3, 4, 8} because these elements are in the union of X, Y, and Z but not in set X and not in set Y.
We also know that: X ∩ Z = {2, 6}, Y ∩ Z = {2}. This tells us that Z must also contain {2, 6}. Only choice D contains all these elements. Z = {1, 2, 3, 4, 6, 8}
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