1. ## Conditional statements

As a problem i was given a statement. I am a high school sophomore in the 10th grade.
Then i was told to turn the statement into a;

Conditional statement: If I'm a high school sophomore, then i will be in the 10th grade.

Converse: If I'm in the 10th grade then I'm probably a highschool sophomore.

Biconditional: I'm a sophomore if and only if im in the 10th grade.

Conclusion: The Biconditional is true.

How did i do? Are they correctly written?

2. Originally Posted by not4nothing
As a problem i was given a statement. I am a high school sophomore in the 10th grade.
Then i was told to turn the statement into a;

Conditional statement: If I'm a high school sophomore, then i will be in the 10th grade.
I'll accept that. Strictly speaking there is no way to change "A and B" into "If A then B". They are different statements. I might argue with the "will be" rather than "am". "Will be" implies something that will happen in the future.

Converse: If I'm in the 10th grade then I'm probably a highschool sophomore.
"Probably"? There is no "probably" in the origina statement. The converse of "if A then B" is "if B then A". The converse is "if I am in the 10th grade then I am a sophomore."

Biconditional: I'm a sophomore if and only if im in the 10th grade.

Conclusion: The Biconditional is true.

How did i do? Are they correctly written?
It's not clear what the question was! You said only "turn the statement into". Where did that "conclusion" come from?

3. Oh ok i see what you are saying, with the converse and conditional.

I was to state in my conclusion whether the biconditional statement is true.

To see what the problem that i am to solve more clearly here is the pdf file that i was able to find.

https://netfiles.uiuc.edu/emorriso/w...heets/P2.3.pdf