Question 254259
STATEMENT 1: AB>AC
REASON 1: given
STATEMENT 2: M is the midpoint
REASON 2: given
STATEMENT 3: AM=MC
REASON 3: definition of midpoint
STATEMENT 4: AC=AM+MC
REASON 4: segment addition postulate
STATEMENT 5: AC > AM
REASON 5: distance from end point to midpoint is less than distance from end point to end point.
STATEMENT 6: AB>AM
REASON 5: transitive property of inequality
I think that gets it. You are on the right track!