by ohthatpatrick Mon May 05, 2014 5:17 pm
The correct answer was just the contrapositive of the way you originally wrote down the rule. The contrapositive is a different way of saying exactly the same thing.
You should get into the habit of writing contrapositives whenever you write a conditional statement.
(When you get good enough at doing so, you can either stop writing them - because you'll be able to 'think' them naturally - or you can keep writing them since it only takes 2 seconds to do so).
If I have a conditional that says:
If Bob goes, then Pam goes.
B --> P
the contrapositive is always
If NOT the 2nd thing, then NOT the 1st thing.
If Pam does NOT go, then Bob does NOT go.
~P --> ~B
So you correctly symbolized the original rule as
X - V --> Y - R
So our contrapositive is
If Y is NOT before R, then X is NOT before V
In ordering games, there's no reason to say
Y is NOT before R
when saying
R is before Y
is much easier/clearer.
So while we could write the contrapositive as
~(Y - R) --> ~(X - V)
it's easier and clearer to just flip the ordering when you're negating an ordering rule and get
R - Y --> V - X
Let me know if you still have any questions about this.