Statements:All bottles are glasses.No cup is a glass. Conclusions:I. No bottle is a cup.II. At least some glasses are bottles.
Question
Statements:All bottles are glasses.No cup is a glass. Conclusions:I. No bottle is a cup.II. At least some glasses are bottles.
Solution
The given statements are:
- All bottles are glasses.
- No cup is a glass.
From these statements, we can draw the following conclusions:
I. No bottle is a cup. This conclusion is valid. Since all bottles are glasses and no cup is a glass, it follows that no bottle can be a cup.
II. At least some glasses are bottles. This conclusion is also valid. Since all bottles are glasses, it is true that at least some glasses are bottles.
So, both conclusions I and II follow from the given statements.
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