Question

Which compound conditional statement involves the inclusive or?

If we choose to go to Florida or to California, then we’ll have a nice vacation.


If you take a taxi or a bus to the meeting, then you won’t have to worry about parking.


If Satish takes the Tuesday 8:00am Chemistry class or the Tuesday 8:00am Physics class, then he will finish the program.

If we see lions or tigers, then we will have a great day at the zoo.

Answer 1

Here's an analogy of the difference between inclusive and exclusive OR:

Exclusive OR says that something can be this OR that, but not both. So it is EXCLUSIVELY this or that. It also can't be neither of those.

Inclusive OR is the opposite of that. Inclusive OR can be this or that or both of them at the same time. Again, it still can't be neither of those.

With that, we can develop a truth table like so:


Now, with that in mind, let's look at the original questions and options:

Which compound conditional statement involves the inclusive OR?
A. If we choose to go to Florida or to California, then we’ll have a nice vacation.
B. If you take a taxi or a bus to the meeting, then you won’t have to worry about parking.
C. If Satish takes the Tuesday 8:00am Chemistry class or the Tuesday 8:00am Physics class, then he will finish the program.
D. If we see lions or tigers, then we will have a great day at the zoo.

First, we know we must look for the answer where we can do both A and B and A or B.
Let's look at A. We know that we can go to Florida or California to have a great vacation, but not both at the same time, so that can't be it.
Let's look at B. now. We know that we can take a taxi or a bus to the meeting to not have to worry about parking, but we can't take both at the same time. (Unless we have a magical clone lol) So that can't be it.
Let's look at C. now. Satish can go to Tuesday's 8:00am Chemistry or Physics class for him to finish the school program, but he can't go to both at the same time. So again, that can't be it.
Now let's finally look at D. We know that if we see lions or tigers, then we'll be able to have a great day at the zoo. In this case, we can see lions OR tigers or we can see both lions and tigers because we have all day to check them out, either way we will have a great day at the zoo. Since this fits our truth table for inclusive OR, D is the answer!

I should point out that this makes even more sense if you study logic gates in electrical engineering. The inputs and outputs work just like truth tables and make even more sense with how they function. Inclusive OR in electrical engineering is represented by the OR logic gate, exclusive OR is represented by the XOR gate.

I hoped this helped you with your studying, I sure had a lot of fun writing it.
Cheers! ^_^