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Write a statement that is logically equivalent to the statement below. Demonstrate it is logically equivalent by citing evidence to justify your statement:

If today is Monday, then it is not the weekend.

2 Answers

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Final answer:

A statement that is logically equivalent to the given statement, "If today is Monday, then it is not the weekend," can be formed by negating both parts of the statement and reversing the order of the sentence.

Step-by-step explanation:

A statement that is logically equivalent to the given statement, "If today is Monday, then it is not the weekend," can be formed by negating both parts of the statement and reversing the order of the sentence. The equivalent statement would be: "If it is the weekend, then today is not Monday."

This new statement can be justified as logically equivalent to the original statement by considering the law of contrapositive. According to this law, if a conditional statement is true, then its contrapositive statement is also true. In this case, both the original statement and the new statement follow the same logical structure and convey the same meaning, just with the parts switched around.

User Subha Chandra
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3 votes
the statement logically equivalent to the statement below will be

,,If today is Weekend,then it is not the Monday ."
User Scott Woodall
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6.9k points
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