All plinks are plonks.
Some plunks are plinks.
Which of the statements X, Y, Z below must be true?
X
: All plinks are plunks.
Y
: Some plonks are plunks.
Z
: Some plinks are not plunks.
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From the first given statement, since all plinks are plonks , then the set of plinks is a subset of plonks. So, the Venn diagram that illustrate this first statement should look like the diagram above.
From the second given statement, since some plunks are plinks , then it is possible that all plunks are plinks , or all plinks are plunks as well. So we got 4 possible Venn diagrams, as shown below.
So, for any of "X", "Y', "Z" to be true, we can check against each of these diagrams.
X - It is not true in (1), so statement X can be false.
Y - It is true in all these diagrams.
Z - It is not true in (4), so statement Z can be false.