Identify the if-then form of the statement All cars have four wheels.?

Question

a) If a vehicle has four wheels, then it is a car.
b) If a vehicle is a car, then it has four wheels.
c) If a vehicle is not a car, then it does not have four wheels.
d)none of these

Answer 1

The answer is B! I know it might not always be true, but that isn't the question. The question is basically "What does this statement say?" And it says exactly what answer B says, so that is the answer. It could say "All cars are purple." The if-then form of that statement is "If it is a car, then it is purple." You must learn to ignore the veracity of the argument at hand and look solely at its structure in logic.

Answer 2

The statement says : All cars have 4 wheels
So it is presumed that all cars have 4 wheels => the posibility of 3-wheel cars is not an option (if this was the problem)
=>
b) is the right answer (obviously)

And they must be equivalent, too!

You can use the "digram-method" :

U draw a big circle meaning "all the vehicles with 4 wheels"
Then you draw a circle inside that one and this small circle means "cars"-> this means "All the cars have 4 wheels"="All the cars ar among the vehicles with 4 wheels" (for example, vagons could be included there )

And so you can easily see how "If a vehicle is a car, it has 4 wheels", because the car is the small circle inside the big one.

Answer 3

b. If a vehicle is a car then it has four wheels.

Reason- given that the statement says all cars have four wheels, then it makes sense that if something is a car, then it must have 4 wheels for the original statement to be true

Answer 4

The answer is b. According to the statement, if it's a car, then it has four wheels.

a is the converse of this statement and is not necessarily true.
c is the inverse of this statement and is not necessarily true either.

The contrapositive of the statement would be:
if the vehicle does not have four wheels, then it is not a car.
This statement is true just like the original.

Answer 5

d) a robin reliant car has only three wheels
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Answer 6

d

Answer 7

b.