Question

1.Which choice shows a true conditional with a correctly identified hypothesis and conclusion?

•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. <===My answer
•Next month is February, so this month is the last month of the year.
Hypothesis: Next month is February.
Conclusion: This month is the last of the year.
•Next month is February, so this month is the last month of the year.
Hypothesis: This month is the last of the year.
Conclusion: Next month is February.
•If next month is January, then this month is the last of the year.
Hypothesis: Next month is January.
Conclusion: This month is the last of the year.

2.Write the converse of the following true conditional statement. If the converse is false, write a counterexample.

If x<20, then x<30.

•If x<30, then x<20;true.
•If x<30, then x<20;false.
Counterexample:x=27 and x>27.
•If x>20, then x=30;false.
Counterexample:x=25 and x<30.<===My answer
•If x>30, then x>20;true.

3.Name the Property of Equality that justifies the statement:

RS=RS

•Reflexive property<===My answer
•Symmetric property
•Transitive property
•Substitution property

I think the answers are:
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>20, then x=30;false.
Counterexample:x=25 and x<30.
3.Reflexive property
(Please help correct me if I'm wrong)