Given the biconditional statement:

I will sleep in today if and only if it is a holiday.

Part A: Determine the hypothesis p and conclusion q. (2 points)

Part B: Write the given biconditional as two conditional statements. (2 points)

Question

Given the biconditional statement:

I will sleep in today if and only if it is a holiday.

Part A: Determine the hypothesis p and conclusion q. (2 points)

Part B: Write the given biconditional as two conditional statements. (2 points)

urlocalgay · Answer

@toga For part A I believe it would be Hypothesis p: I will sleep in today.  Conclusion q: It is a holiday.

urlocalgay · Answer

To match part B I think it'd be
 “If it is a holiday, then I will sleep today.”
"If I will sleep today, then it is a holiday."

toga · Answer

Part A: You are correct! Hypothesis p is "I will sleep in today" and conclusion q is "it is a holiday".

Part B: The given biconditional statement can be written as two conditional statements:

"If I will sleep in today, then it is a holiday" and "If it is a holiday, then I will sleep in today.

urlocalgay · Answer

Would my part B's work as well? Or does it need to be written like yours?

urlocalgay · Answer

i forgot to add in* but with that in would they be alright?

toga · Answer

@urlocalgay wrote:

Would my part B's work as well? Or does it need to be written like yours?

yours could work

urlocalgay · Answer

Thank you toga ^^

toga · Answer

@urlocalgay wrote:

Thank you toga ^^

np