State the converse, contrapositive, and inverse of each of these conditional statements a) if it snows tonight, then i will stay at home. b) i go to the beach whenever it is a sunny summer day. c) when i stay up late, it is necessary that i sleep until noon.

Step-by-step explanation:

Consider the provided information.

For the condition statement or equivalent "If p then q"

Part (A) If it snows tonight, then I will stay at home.

Here p is If it snows tonight, and q is I will stay at home.

Converse: If I will stay at home then it snows tonight.

Inverse: If it doesn't snows tonight, then I will not stay at home.

Contrapositive: If I will not stay at home then it doesn't snows tonight.

Part (B) I go to the beach whenever it is a sunny summer day.

Here p is I go to the beach, and q is it is a sunny summer day.

Converse: It is a sunny summer day whenever I go to the beach.

Inverse: I don't go to the beach whenever it is not a sunny summer day.

Contrapositive: It is not a sunny summer day whenever I don't go to the beach.

Part (C) When I stay up late, it is necessary that I sleep until noon.

P is I sleep until noon and q is I stay up late.

Converse: If I sleep until noon, then it is necessary that i stay up late.

Inverse: When I don't stay up late, it is necessary that I don't sleep until noon.

Contrapositive: If I don't sleep until noon, then it is not necessary that i stay up late.

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