2. Let U = {x x is a female}

A = {x x is a mathematician}
B = {x x owns a pickup}
C = {x x owns a dog}

Based on the given information, we have four sets defined:

U = {x | x is a female}
A = {x | x is a mathematician}
B = {x | x owns a pickup}
C = {x | x owns a dog}

To find the set of females who are mathematicians, we need to find the intersection between sets U and A. The intersection of two sets represents the elements that are common to both sets.

To find the intersection, follow these steps:

1. Identify all the elements in set U (females).
2. Identify all the elements in set A (mathematicians).
3. Compare the elements in sets U and A and identify the elements that are common to both sets.

The set of females who are mathematicians is the resulting set after comparing the elements.