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What statement represents the logical relationship "P --> not B"?

  1. Two types of Conclusions

  2. Some professors at the school teach Spanish.

  3. No giraffes and no bears are on display.

  4. No budget committee member serves on the planning committee.

The correct answer is: No giraffes and no bears are on display.

The logical relationship "P --> not B" represents a situation where if P is true, then B must be false. Option C, "No giraffes and no bears are on display," corresponds to this relationship. If we consider giraffes as P and bears as B, the statement implies that if there are no giraffes on display (P is true), then there are no bears on display (B is false). This accurately reflects the logical relationship "P --> not B." Options A, B, and D do not portray the same logical relationship as "P --> not B." These options introduce different scenarios and relationships, making them incorrect in the context of the given logical statement.