Truth Table Symbolic Notation Propositional Form

Truth Table Symbolic Notation Propositional Form

These are the instructions that I was provided with for my assignment. I am currently confused on how to make truth tables and how to translate these problems into symbolic notation and propositional form. If someone could help explain to me how I should solve these problems that would be greatly appreciated. I have watched multiple tutorials and read the book yet I am still very confused so that more detailed your responses could be, I would greatly appreciate it.

a.Translate each argument into SYMBOLIC NOTATION For #9 use the letters (A, C, G) instead of the ones given in the text.

b.Convert the argument to PROPOSITIONAL FORM

c.Do a TRUTH TABLE and check for validity using the truth table techniques that we have been practicing.

1. The Republicans will carry either New Mexico or Arizona; but, since they will carry Arizona, they will not carry New Mexico. (A, N)

2. If Bobby moves his queen there, he will lose her. Bobby will not lose his queen. Therefore, Bobby will not move his queen there. (M, L)

3.Although Brown will pitch, the Rams will lose. If the Rams lose, their manager will get fired. So their manager will get fired. (B, L, F)

4.America will win the Olympics unless China does. China will win the Olympics unless Germany does. So America will win the Olympics unless Germany does. (A, R, E)

5. The grass will die if it rains too much or it does not rain enough. If it does not rain enough, it won’t rain too much. If it rains too much, then it won’t not rain enough. So the grass will die. (D = The grass will die, M = It rains too much, E = It rains enough.)