Which of these sentences are propositions? What are thetruth values of those that are propositions? a) Boston is the capital of Massachusetts. b) Miami is the capital of Florida. c) 2+3=5. d) 5+7=10. e) x+2=11. f) Answer this question.

Answer: The sentences are A) Boston is the capital of Massachusetts, B) Miami is the capital of Florida, C) 2+3=5, D) 5+7=10

A) Boston is the capital of Massachusetts truth value is T

B) Miami is the capital of Florida truth value is F

C) 2+3 = 5 truth value is T

D) 5+7=10 truth value is F

Explanation: Proposition is a declarative sentence which have a truth value which could be true (denoted with T or 1) or false (denoted with F or 0)

Example A) Boston is the capital of Massachusetts truth value is T because truly Boston is actually the capital of Massachusetts

Example B) Miami is the capital of Florida truth value is F because Tallahassee is the capital of Florida.

C) 2+3=5 truth value is T because when you add 2 with 3 it gives 5

D) 5+7=10 truth value is F because when you add 5+7 it gives 12, not 10.