Represent the form of the following argument using one of the notations and then establish or refute the validity of the argument. “There is no water on Planet X. If there is life on Planet X, then Planet X contains water. Planet X will be invited to join the Confederation of Lively Planets only if there is life on Planet X. Therefore, Planet X will not be invited to join the Confederation of Lively Planets.”

Which of the following is an example of a valid argument?Question 7Select one:A.If Kim plays, then Sandy won't play. If Sandy plays, then Kelly will be happy. So if Kim plays, Kelly won't be happy.B.Sandy won't play without Kim, and Kelly won't play without Sandy. Logically, the only thing to do is to have them all play.C.If Kim doesn't play, then Sandy won't play, either. If Sandy doesn't play, then Kelly won't play. So Kim won't play.D.If Kim doesn't play then Sandy will play instead. If Sandy plays, then Kelly will be happy. So if Kim doesn't play, Kelly will be happy.E.Kim and Sandy won't play, but Kelly will. If Kelly plays, we'll win. Too bad for Kim and Sandy.

The following argument is a deductive argument. 1)Identify whether it is valid or invalid. 2) Identify the form of the argument.Either Seattle or Spokane is in Washington. Seattle is not in Washington. Therefore, Spokane is in Washington.Group of answer choicesInvalid, denying the antecedentvalid, modus tollensValid, disjunctive syllogismValid, hypothetical syllogism

Statements:All planets are stars.All meteors are planets.No orbit is a star.Conclusions:I. All meteors are stars.II. No planet is an orbit.Conclusion I follows.Conclusion II follows.Either conclusion I or conclusion II follows.Both conclusion I and conclusion II follows.

Statements:All planets are stars.All meteors are planets.No orbit is a star.Conclusions:I. All meteors are stars.II. No planet is an orbit.Conclusion I follows.Conclusion II follows.Either conclusion I or conclusion II follows.Both conclusion I and conclusion II follows

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