First, it seems clear that even if there are occasional small dips in the consumption of petroleum, the general trend shows no sign of a real permanent decrease. Second, petroleum reserves are not being discovered as fast as petroleum is currently being consumed. From these two facts we can conclude that reserves will eventually be consumed and that the world will have to do without oil.

a) true beyond a reasonable doubt
b) probably true
c) possibly true or possibly false

my answer is "C"

I agree.

How do I explain the answer please?

True beyond a reasonable doubt; it may be that

consumption will drop in the future or that discovery of new reserves will increase, but as
long as consumption at some level continues,
eventually all the oil will be used up.

To assess the accuracy of the statement, we need to evaluate the given facts and draw a logical conclusion. The facts stated are:

1. Consumptions of petroleum have occasional small dips but no permanent decrease.
2. Petroleum reserves are not being discovered as fast as petroleum is being consumed.

Based on these two facts, the conclusion is drawn that reserves will eventually be consumed and the world will have to do without oil.

Now, let's consider each option:

a) True beyond a reasonable doubt: This implies that there is overwhelming evidence to support the conclusion, without any reasonable doubt. However, the given facts do not provide strong evidence to unequivocally support the conclusion.

b) Probably true: This implies that while there might be some counterarguments or uncertainties, the conclusion is likely to be true. In this case, given the facts, it is reasonable to conclude that the world will have to do without oil eventually. However, there is a degree of uncertainty and variability involved.

c) Possibly true or possibly false: This option acknowledges that there is uncertainty present and the conclusion could go either way. Considering the given facts, it is indeed possible for the conclusion to be either true or false.

Given the available information, option c), "possibly true or possibly false," is the most fitting answer. It recognizes the potential validity of the conclusion while also acknowledging the existence of uncertainties and variables that could influence the outcome.