Multiple perceptron hypotheses

[Elroch]

Consider the hypothesis set defined by the combination of perceptrons on an -dimensional space using the AND operator be denoted . i.e. a hypothesis in is defined by chosen perceptron hypotheses in -dimensional space all being true.

For example the interior of any tetrahedron in -dimensional space is a member of , and the set of points such that and is a member of

Let be the -dimension of

Which of the following statements is true?
(a) > >
(b) > =
(c) = >
(d) = =
(e) None of the above