Geometry

Question Analysis:
This question involves applying the truth table for conditionals to real-world statements.
The main focus is on understanding the implications of a conditional statement when the antecedent is false.

Key Concept Explanation:
The conditional statement p→q is true when p is false, regardless of the truth value of q.
Therefore, if "It is not snowing" (¬p) is true, the truth value of "I will build a snowman" (q) is not determined by the conditional statement.

Step-by-Step Solution:
Given p→q is true and ¬p is true (so p is false).
Refer to the truth table for p→q:
When p is false, p→q is true regardless of q.
Thus, q can be either true or false.

Option Analysis:
A) Incorrect. q could be true, but ...