Let s represent a false statement and let r represent a false statement. Find the truth value of the following statement. ~[~s v (~ r < s ) ]
Is the statement true or false?
True
False

I'll interpret the given statement as

where means "not x", means "or", and means "and".

If r is false, then is true.

s is given to be false, so (basically "true and false") is false.

If s is false, then is true.

Then (i.e. "true or false") is true.

Take the negation of that and you end up with a false statement.

If you intended "~r < s" to mean something like "not r is implied by s", so the original statement is actually

then is true because s is false. Then is still true, so the statement still ends up being false.

sine

step-by-step explanation: