- 2071 Bhadra · 3 marks
Converse etc. of beach statement
Short answer
Converse: If I go to the beach then it is a sunny summer day. Contrapositive: If I do not go to the beach then it is not a sunny summer day. Inverse: If it is not a sunny summer day then I do not go to the beach.
State the converse, contrapositive and inverse for the conditional statement, "I go to the beach whenever it is a sunny summer day."
The statement "q whenever p" means p → q. Let p: "it is a sunny summer day" and q: "I go to the beach". Original: If it is a sunny summer day, then I go to the beach.
| Form | Symbolic | Statement |
|---|---|---|
| Converse | q → p | If I go to the beach, then it is a sunny summer day. |
| Contrapositive | ¬q → ¬p | If I do not go to the beach, then it is not a sunny summer day. |
| Inverse | ¬p → ¬q | If it is not a sunny summer day, then I do not go to the beach. |
✓ Answer checked by Claude Opus 5.5 (high effort)
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