LSAT Practice Test

In the relationship "not s implies h," if s is not true, then h must be true. This means that if s does not happen, then h is guaranteed to happen. So, the correct inference from this relationship would be "s implies not h," which means if h does not happen, then s must be true. This is why option C is the correct choice.

Option A states "~s implies h can have both but must have at least one," which is not supported by the given relationship. Option B states "h implies ~s can have none but not both," which is not in line with the relationship provided. Option D states "~h implies s can have both but must have at least one," which is not the correct inference based on the relationship given.