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12 October, 05:16

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.

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  1. 12 October, 09:11
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    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.
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