If ~(k V l) is true, it means that the statement "k or l" is false. In other words, both k and l must be false for the whole statement to be true.
To explain this further, let's consider the possible truth values of k and l.
- If k is false and l is false, then ~(k V l) would be true.
- If k is false and l is true, then ~(k V l) would still be true because only k being false is enough to make the whole statement false.
- If k is true and l is false, then ~(k V l) would be false because the statement "k or l" would be true.
- Finally, if both k and l are true, then ~(k V l) would also be false.
Therefore, from these possibilities, we can conclude that if ~(k V l) is true, then k must be false. This is because k being false is the only condition that ensures the whole statement is true.
In summary, if ~(k V l) is true, k must be false.