Consider a linear programming problem whose feasible region $is$ not empty. Which one $of$ the following statements $is$ FALSE $in$ general?

Consider a linear programming problem whose feasible region $is$ not empty. Which one $of$ the following statements $is$ FALSE $in$ general?

Any feasible solution $to$ this linear program must satisfy a constraint qualification.

Any optimal solution $to$ this linear program must satisfy the $KKT$ conditions.

Any feasible solution $to$ this linear program must satisfy the $KKT$ conditions.

$Ifan$ algorithm can solve a general nonlinear program, the same algorithm can $be$ used $to$ solve this linear program.