Conditional Statement Math Example 1

Solution

1. 1
   Let $p$: 'a number is divisible by 6' and $q$: 'it is divisible by 3.' The original is $p \Rightarrow q$.
2. 2
   Converse ($q \Rightarrow p$): 'If a number is divisible by 3, then it is divisible by 6.' (False; e.g., 9.)
3. 3
   Inverse ($\neg p \Rightarrow \neg q$): 'If a number is not divisible by 6, then it is not divisible by 3.' (False; e.g., 9.)
4. 4
   Contrapositive ($\neg q \Rightarrow \neg p$): 'If a number is not divisible by 3, then it is not divisible by 6.' (True.)