I keep getting x1x2 + x1x3 while the answer key says x1x3. Not sure where I made a mistake.

1) A circuit that controls a given digital system has three inputs: x1, x2 and x3. It has to recognize three different conditions: 1. Condition A is true if x3 is true and either x1 is true or x2 is false 2. Condition B is true ifxl is true and either x2 or x3 is false 3. Condition C is true if x2 is true and either x1 is true or x3 is false The control circuit must produce an output of 1 if at least two of the conditions A, B, and C are true. Design and the draw the schematics of the simplest circuit that can be used for this purpose