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The main statement is followed by four answers. Select the one that logically follows from the main statement: 'If the game is interesting, then I play it.'

Solution

Correct Option: 4

Given: "If the game is interesting, then I play it" (p → q)

Option 4 states "I did not play a game implies that the game was not interesting" (¬q → ¬p)

Since ¬q → ¬p is the contrapositive of p → q and is logically equivalent to it, option 4 is correct.

Option 1: It implies the opposite of the given sentence, it would mean that ALL games I play are interesting

Opton 2 and 3: Both contradict the statement.

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