Question regarding Unless rule

Law School Admissions LSAT Prep and Discussion Forum
1

Hello,
I treat “unless” as “if not”
A unless B
:~B → A
ex) I will go to law school unless I miss the LSAT test
If not miss the LSAT → go to law school

Q1. But I have a difficulty diagramming the unless rule with 2 elements in it.
Am I correct?

  1. A unless B OR C
    :~(B OR C)=~B AND ~C → A
    =~A → B OR C
  2. A unless B AND C
    :~(B and C)=~B or ~C → A
    = ~A → B and C

Q2. How can I diagram this sentence? Am I Correct?
ex) “budget cannot be reduced unless faculty positions are eliminated or faculty salaries are reduced”
~(faculty position reduced OR faculty salary reduced) → ~ Budget Reduced
: Budget Reduced → Faculty position reduced OR faculty salary reduced

I really thank you for your help in advance!!

2

I think you’re right, but I’m going to rewrite it in language that I understand:

If faculty positions aren’t eliminated AND faculty salaries aren’t reduced, Then the budget cannot be reduced.
If the budget is reduced, Then we either eliminated faculty positions OR reduced faculty salaries (or both, but that’s included in the OR).

3

Thank you!!