(i). In MA161 class, the lecturer gave the following proposition. Let A (x, y) be “ y is greater than or equal to x ”. The domain for the proposition is the set of nonnegative integers. The students were tasked to determine what are the truth values of ∃y ∀xA (x,y) and ∀x∃yA(x,y ) ?
The Answer to the Question
is below this banner.
Can't find a solution anywhere?
NEED A FAST ANSWER TO ANY QUESTION OR ASSIGNMENT?
Get the Answers Now!You will get a detailed answer to your question or assignment in the shortest time possible.
Here's the Solution to this Question
Part 1
The statement says that for every non-zero real number, there exists a real number such that their product equals 1, this is the inverse property of multiplication and thus always true. Hence the statement is true.
Hence, the Truth value of this statement is True.
Part 2
The statement says that there exists a real number such that every non-zero real number does not exist and thus the statement is false.
Hence, the Truth value of this statement is False.