Which of the following sentences is a proposition whose truth value is T?
Select one:
a. x + 2 = 11
b. x + y = y + x for every pair of real numbers x and y
c. Answer this question carefully.
d. Manila is in Cagayan.
The given statement can neither be true or false. It depends on the value of x. Hence, it is not a proposition.
x + y = y + x for every pair of real numbers x and y
This is a proposition whose truth value is
Answer this question carefully.
Since " Answer this question carefully" is not a statement that can be either true or false, it is not a proposition.
Manila is in Cagayan.
This statement is a proposition whose truth value is .
Therefore, the correct choice is b.
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