Well, let's think about what we're saying here. In mathematics, whenever a negative is added, it's the same as subtracting the positive of that number. For instance, if we had 5 + -9, that would be the same as saying 5 - 9. So, let us put the equation we have into more common terms. Suzy started at -2, so that is our starting number. Then she added -3. Remember that adding negatives is the same thing as subtracting positives. So now, our expression looks like this:
-2 + -3
which is the same as
-2 - 3
When you subtract 3 from negative two, you are left with -5.
-2 - 3 = -5
We can see that -5 does not equal +5 (Suzy's resulting number), so we can automatically deselect any answer choices that say her logic is sound. Answer choice A is gone. Let us examine the other choices and see which the right one would be.
B. No, it is not reasonable because if you start at -2, you would move 3 places to the left and get -5.
This choice sounds correct, since that is the result we ended up with, but let's take a look at the last answer anyway.
C. No, it is not reasonable because if you start at -2, you would move 3 places to the right and get +1.
This choice is incorrect. We didn't end up even close to +1, so this choice is not the correct answer choice.
We are left with choice B, which is our correct answer. Hope that helped! =)
