Consider the following axiom system Axiom 1 There exists exa

Consider the following axiom system.

Axiom 1: There exists exactly 6 points.

Axiom 2: Given two points, there is exactly one line incident with both points.

Axiom 3: Every line contains at least two points.

Axiom 4: Not all points are on the same line.

Axiom 5: Given a line l and a point P not on l, there is exactly one line through P that does not intersect l.

Determine whether this axiom system is consistent or not. Completely justify your conclusion.

The axiom 1 is not correct.

All the other axioms are correct and consistent.

Because there cannot be exactly 6 points, it can be more than that.