Question

Which of these sentences are propositions?

Answer 1

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.