Write the negation of the followingstatement : 2If it is raining, then the game is cancelled

If it is raining, then the football game will be canceled. The football game is not canceled. Therefore, it's not raining.Deductive ReasoningCausal ReasoningInductive ReasoningCircular Reasoning

The second statement is a negation of the first statement.

job.”4. Use rules of inference to show that the hypotheses “If it does not rain orif it is not foggy, then the sailing race will be held and the lifesavingdemonstration will go on,” “If the sailing race is held, then the trophywill be awarded,” and “The trophy was not awarded” imply theconclusion “It rained.

Let 𝑝 and 𝑞 be the proposition variables denoting𝑝: It is below freezing.𝑞: It is snowing.Write the following propositions using variables, 𝑝 and 𝑞, and logical connectives.a. It is below freezing and snowingb. It is below freezing but not snowingc. It is not below freezing and it is not snowing.d. It is either snowing or below freezing (or both).e. If it is below freezing, it is also snowing.f. It is either below freezing or it is snowing, but it is not snowing if itis below freezing.g. That it is below freezing is necessary and sufficient for it to besnowing

Draw truth-table for negation.