Mark each statement True or False. Justify each answer. (a) In order to be classified as a statement, a sentence must be true. (b) Some statements are both true and false. (c) When statement p is...

Mark each statement True or False. Justify each answer.

(a) In order to be classified as a statement, a sentence must be true.

(b) Some statements are both true and false.

(c) When statement p is true, its negation ~p is false.

(d) A statement and its negation may both be false. (e) In mathematical logic, the word “or” has an inclusive meaning.