Which of the following statements is logically equivalent to, "When I finish my homework, I'll go to the game"? If I finish my homework, then I'll go to the game. If I do not finish my homework, then I won't go to the game. If I do not go to the game, then I did not finish my homework. If I go to the game, then I finished my homework.

Question

Mathematics

Zachery Stanton

16 May, 20:28

Which of the following statements is logically equivalent to, "When I finish my homework, I'll go to the game"? If I finish my homework, then I'll go to the game. If I do not finish my homework, then I won't go to the game. If I do not go to the game, then I did not finish my homework. If I go to the game, then I finished my homework.

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Answers (1)

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Billy Booker · Answer 1

Answer: The answer is "If I finish my homework, then I'll go to the game" or "If I do not finish my homework, then I won't go to the game.".

Step-by-step explanation: Given statement is "When I finish my homework, then I'll go to the game".

We need to find the correct statement out of the given four options that is equivalent to the given statement.

Logically, the following two statements are equivalent to the given statement.

(i) If I finish my homework, then I'll go to the game.

(ii) If I do not finish my homework, then I won't go to the game.

Thus, these are the correct answers.