Question

3. Let Q(x, y) denote the statement "x is the capital of y."
What are these truth values?
a) Q(Denver, Colorado)
b) Q(Detroit, Michigan)
c) Q(Massachusetts, Boston)
d) G(New York, New York)​

Answer 1

Step-by-step explanation:

hey sis the answer is A)Q(Denver, Colorado)

Answer 2

Answer:

The correct answer for denoting the statement, "x is the capital of y", os option a) Q(Denver, Colorado).

Step-by-step explanation:

We are given that Q(x,y) denotes the statement, "x is the capital of y."

So, considering the options one by one, we get:

a) Q(Denver, Colorado) means that Denver is the capital city of the state of Colorado, which is absolutely true.

Thus, option (a) is the correct answer.

b) Q(Detroit, Michigan) means that Detroit is the capital city of Michigan, which is false as the capital of state of MIchigan is Lansing. Thus, (b) is eliminated.

c) Q(Massachusetts, Boston) means that Massachusetts is the capital of Boston, which is false as it is the other way around, i.e., Boston is the capital of the state of Massachusetts. Thus, (c) is eliminated.

d) Q(New York, New York) means that New york city is the capital of the state of New York, which is false as the capital of New York state is Albany. Thus, (d) is eliminated.