Answer:
a) True
b) False
c) True
d) False
e) Not a proposition
f) Not a proposition
Step-by-step explanation:
Proposition:
- It is a declarative statement that is either false or true.
- It cannot be both true or false.
a) Boston is the capital of Massachusetts.
The given statement is true. Hence, the given statement is a proposition.
b) Miami is the capital of Florida.
The given statement is false. Hence, the given statement is a proposition.
c) 2 + 3 = 5.
The given statement is true. Hence, the given statement is a proposition.
d) 5 + 7 = 10.
The given statement is false. Hence, the given statement is a proposition.
e) x + 2 = 11.
The given statement can neither be true or false. It depends on the value of x. Hence, it is not a proposition.
f ) Answer this question.
The given statement is not a declarative in nature. Hence, it is not a proposition.
