@ChrisSteinbeckBell - Because you haven't replied to the previous answer yet, I am not sure if you are fully comprehending the kind of logical reasoning needed to solve a problem like this.
What follows is not intended to be a complete answer to your question, but just a helpful tip.
When studying logic, it is extremely important to understand the following:
If you know that A implies B, and you also know that B is not true, then you know that A MUST be false.
You can think about this by using a simpler example.
1. If there are no clouds in the sky, then it is not raining.
2. It is raining.
From these two statements taken together, we can conclude that the first part of statement 1 must be false. So, there are not no clouds in the sky. In other words, there are (at least some) clouds in the sky.
You can process these statements like this:
1. If (there are no clouds in the sky), then (it is not raining).
2. (It is raining).
Therefore, (there are clouds in the sky).
1. If (A), then (B).
2. Not (B).
Therefore, not (A).
1. A ⇒ B
Stated in a simple way, you can say:
If A implies B, and B is false, then A must also be false.
((A ⇒ B) AND (¬B)) ⇒ ¬A
You should review this concept as long as it takes until you are confident that you fully understand it.
What follows is the whole analysis of the problem. Note that this is redundant with what was already explained in the other answer.
First, apply parentheses to all the individual statements:
If (there are no government subsidies for agriculture), then (there are government controls on agriculture). If (there are government controls on agriculture), then (there is no agricultural depression). [(There is depression) or (there is agricultural overproduction)]. It is a fact that (there is no overproduction).
Let us assign A, B, C, and D as follows: (for any statement including NO, we will remove it, and apply a NOT operator to it)
A: there are government subsidies for agriculture
B: there are government controls on agriculture
C: there is agricultural depression
D: there is agricultural overproduction
Now using this notation, we can rewrite the above sentences as:
If (not A), then (B). If (B), then (not C). [(C) or (D)]. (not D).
Partly converting to symbols, we get:
notA ⇒ B. B ⇒ notC. C or D. not D
where the ⇒ symbol means "implies" or "if...then"
Using simple rules of logic, we can process these statements from last to first:
Note: I use the ⊢ symbol to mean "yields". For example, A ⊢ B means "A yields B", or "from A, we know B"
- (not D) AND (C or D) ⊢ C
- C AND (B ⇒ notC) ⊢ notB
- (notB) AND (notA ⇒ B) ⊢ A
So from the above, we know that A and C are true, and B and D are false.