SOLUTION: Hello, I have two problems I need help with. Thanks let p, q, and r be the following statement: p: jamie is on the train. q: sylvia is at the park. r: nigel is in the car.

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: Hello, I have two problems I need help with. Thanks let p, q, and r be the following statement: p: jamie is on the train. q: sylvia is at the park. r: nigel is in the car.       Log On

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Question 359596: Hello, I have two problems I need help with. Thanks
let p, q, and r be the following statement:
p: jamie is on the train.
q: sylvia is at the park.
r: nigel is in the car.
translate the following statement into english: (~q^p)arrow going to right ~r
construct a truth table for ~q V ~p

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
p: jamie is on the train.
q: sylvia is at the park.
r: nigel is in the car.
.
.
~p: jamie is not on the train
~q: sylvia is not at the park
~r: nigel is not in the car.
.
.
.
(~q^p)->~r
If (not q and p) then (not r)
Now just substitute,
If (sylvia is not at the park and jamie is on the train) then (nigel is not in the car)
.
.
.
p      q     ~p    ~q    (~q v ~p)
-----------------------------------
T      T      F     F        F
T      F      F     T        T
F      T      T     F        T
F      F      T     T        T