Find the answer to the ninth question of senior high school mathematics B version 4-5 elective course 1-4.
Solution 1: According to the geometric meaning of absolute inequality, the minimum value of |x-3|+|x-4| is 1, and the solution set of | x-3 |+| x-4 | < a is not empty, so a> 1.
Solution 2: From the absolute inequality: | x-3 |+| x-4 | = | x-3 |+| 4-x | ⊙| x-3+4-x | =1,so the minimum value of | x-3 |+| x-4 | is 650. The solution set of A is not empty, so a> 1.