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If every type of tree has leaves and some plants with leaves are not trees, are all plants with leaves trees?NoMaybeYes

Question

If every type of tree has leaves and some plants with leaves are not trees, are all plants with leaves trees?

  • No
  • Maybe
  • Yes
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Solution

To determine whether all plants with leaves are trees based on the given statements, let's analyze the information provided.

  1. Analyzing Statements:

    • Statement 1: Every type of tree has leaves.
      • This implies that if something is a tree, then it must have leaves.
    • Statement 2: Some plants with leaves are not trees.
      • This indicates that within the set of all plants with leaves, there exists at least one plant that is not a tree.
  2. Conclusion:

    • From Statement 1, we know that trees are a subset of plants with leaves.
    • Statement 2 explicitly states that there are plants with leaves that are not included in the category of trees.
    • Therefore, it cannot be concluded that all plants with leaves are trees, since there are examples of plants with leaves that are definitively not trees.

Final Answer

No, not all plants with leaves are trees.

This problem has been solved

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