Maths · Relations, type of relations, equivalence relations
Which of the following statements is the inverse of "Our pond floods whenever th
Which of the following statements is the inverse of "Our pond floods whenever there is a thunderstorm."?
- A. If there is a thunderstorm, then our pond floods
- B. If we do not get a thunderstorm, then our pond does not flood.
- C. If our pond does not flood, then we did not get a thunderstorm
- D. None of the above
Step-by-step solution
The original statement 'Our pond floods whenever there is a thunderstorm' is equivalent to 'If there is a thunderstorm, then our pond floods' (P → Q). The inverse of a conditional is formed by negating both the hypothesis and the conclusion: 'If not P, then not Q'. Thus, the inverse is 'If there is not a thunderstorm, then our pond does not flood', which matches option B.
Related MCQs
- Which of the following is NOT equivalent to…
- Which of the following statements is the contrapositive of the statement, You win the game if you know the rules but are not overconfident.…
- The contrapositive statement of statement "If is prime number, then is odd" is…
- Assertion The relation given by ,(\mathbf{4}, \mathbf{2}),(\mathbf{2}, \mathbf{4}),(\mathbf{2}, \mathbf{3}),(\mathbf{3}, \mathbf{1})\} \) on…
- is a relation in and \notin \mathrm{r}, \) implies (b, a) then is said to be relation…