Geometry

Question Analysis:
This question tests the understanding of the inverse of a conditional statement.
The main focus is on identifying the correct symbolic representation of the inverse of p→q.

Key Concept Explanation:
The inverse of a conditional statement p→q is formed by negating both the hypothesis and the conclusion.
Symbolically, the inverse is represented as ¬p→¬q.

Step-by-Step Solution:
Original statement: p→q
Hypothesis (p): "If p is true."
Conclusion (q): "Then q is true."
Inverse: Negate both the hypothesis and conclusion.
New hypothesis (¬p): "If p is not true."
New conclusion (¬q): "Then q is not true."
Symbolic representation of the inverse: ¬p→¬q.
The correct answer is A.

Option Analysis:
A) ¬p→¬q
This is the correct representation of the inverse.
B) q→p
This represents the converse of the statement, not the inverse.
C) p↔q
This represents a biconditional statement ("if and only if"), not the ...