orangecellny Wrote:i am having trouble understanding how to approach this problem. i am unable to understand the proper diagramming that needs to be done in order to determine the correct answer.
i would greatly appreciate any help
thanks in advance
This is definitely a stimulus that would be beneficial to diagram, as is often the case with must be true questions.
So the first sentence tells us that the Earth's axis is tilted at an angle of roughly 23 degrees.
So far this is just a fact that we know.
Next sentence says that the angle can be kept stable only by the grav. influence of Earth's moon.
This is a conditional relationship. Can be kept stable only by X.
Stable ---> X
Or in this case:
Stable tilt ---> Grav. influence of Earth's moon
So far we have a fact and a conditional statement that are not interacting with each other.
Next sentence states that without a stable and moderate tilt, a planet's climate is too extreme and unstable to support life.
We can diagram this statement like this:
~Stable tilt ---> ~Planet support life
So we do see now that these statements can be linked up and we can make inferences or conclusions about them.
Stable tilt ---> Grav. influence of Earth's moon
~Stable tilt ---> ~Planet support life
There are two nice things about these conditional statements.
1) We can combine them.
2) We know what happens when stable tilt and we know what happens when ~stable tilt.
Those are the only two possibilities in existence, and we have information about either occurrence.
I can see that to combine these two statements, I need to take the contrapositive of the second statement to align the statements in logical order to where we get this:
Stable tilt ---> Grav. influence of Earth's moon
Planet support life ---> Stable tilt
........
Planet support life ---> Stable tilt ---> Grav. influence of Earth's moon
Answer choice B must be true. It is a statement using the contrapositive of our long logic chain.