Your answers for questions 1 and 3 are correct. Well done!
However, there seems to be an error in your answer for question 2. The converse of the conditional statement "If x<20, then x<30" is "If x<30, then x<20." Therefore, your answer should be:
• If x<30, then x<20 (converse); true.
Remember, the converse of a conditional statement switches the hypothesis and conclusion of the original statement. In this case, since the original statement is true, its converse is also true.
So, to summarize:
1. If next month is January, then this month is the last of the year.
Hypothesis: This month is the last of the year.
Conclusion: Next month is January.
2. If x<30, then x<20 (converse); true.
3. Reflexive property