- 2072 Asoj · 2 marks
Contrapositive and inverse: snow statement
Short answer
The contrapositive is "If I do not stay at home tonight, then it does not snow tonight." The inverse is "If it does not snow tonight, then I will not stay at home."
State the contrapositive and inverse of the conditional statement, "If it snows tonight then I will stay at home".
Let p: "it snows tonight" and q: "I will stay at home". The statement is p → q.
- Contrapositive (¬q → ¬p): If I do not stay at home tonight, then it does not snow tonight.
- Inverse (¬p → ¬q): If it does not snow tonight, then I will not stay at home.
The contrapositive is equivalent to the original statement; the inverse is not.
✓ Answer checked by Claude Opus 5.5 (high effort)
Related questions
- Converse, inverse, contrapositive of prime statement · Discrete Structure, chapter 1 · asked 2×
- Converse etc. of beach statement · Discrete Structure, chapter 1
- Converse etc. of temple statement · Discrete Structure, chapter 1
- Conditional operator vs if-else; digit sum · Computer Programming, chapter 5
- Conditional probability; voltage regulator suppliers · Probability and Statistics, chapter 1 · asked 2×