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From the statement "If wrens are in the forest, then so are grosbeaks," which logical relationship is correct?

  1. W implies G or no G implies no W

  2. if no G then no W or W implies no G

  3. W if and only if G is false

  4. No G implies W but W does not imply G

The correct answer is: W implies G or no G implies no W

In the given statement "If wrens are in the forest, then so are grosbeaks," the correct logical relationship is represented by choice A. This is because it accurately captures the implication conveyed in the statement. It states that if wrens (W) are in the forest, then grosbeaks (G) must also be present, which is the essence of the given statement. This logical relationship can be articulated as "W implies G," meaning the presence of wrens implies the presence of grosbeaks in the forest.