Statements :All hill stations have a sun-set point. X is a hill station. Conclusions : I. X has a sun-set point. II. Places other than hill stations do not have sun-set points. A.Only conclusion I follows B.Only conclusion II follows C.Either I or II follows D.Neither I nor II follows

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Benjamin Densmore

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Statements :All hill stations have a sun-set point. X is a hill station. Conclusions : I. X has a sun-set point. II. Places other than hill stations do not have sun-set points. A.Only conclusion I follows B.Only conclusion II follows C.Either I or II follows D.Neither I nor II follows

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Okay, so here we have 2 things right: all hell stations have a sunset plant and x is a heel station. So what we have here is, if p, then q right. If it's a hill station, then it has a sunset point right and then we have p right. So we'll say these are our 2 propositions. P implies q and p, and then that means what we can justify that q is true. Therefore, q is true. So what that means is x is a hill station, so x has at a sunset point right. So that's what we're saying so. First of all, conclusion 1 is true. Conclusion: 1 checks out now now for the other ones. What'S the other conclusions places other than hill stations do not have sunset points, so what this is saying that right, we have p implies q, we have p, implies c and then they're saying not p, not p. Well, that doesn't really tell us anything right if we were to make a truth, table p, q right and then p implies qright. Well then lin that truth table. We have of course true true, true, false and then false, true and then false false. So this is just be filling out. The normal p and q true table right so p implies. Q is going to be true here and it's false false. I don't know how that happened, but so it's gonna be false here and true here and true here. So what we're saying is p implies. Q is true, so what e're gonna do is we're gonna cross out everywhere that it's not true right there? So that's where p in plus q is false. Now we're going to mark out everywhere that p is true. So what that tells us is these: are our 2 options right so notice? What we can't conclude, we can't conclude 1 way or the other, whether or not it has a hill hill spot. So that tells us that places other than hill stations do not have sunset points does not follow. Only conclusion 1 follows only conclusion. 1 follows conclusion. 2 does not follow, because when we build this truth table, we see we have 2 different outputs. We have 2 different options, for when p implies, q and p are true all right. So even if it's not a hill point, it may or may not have a sunset's spot.

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