在一次测验中,杨老师出了这样一道题:x为何值时,分式1x2-5x+6有意义?有些同学得x≠2,或x≠3.杨老师找来了做错的甲同学,问他为什么这样做?“因x2-5x+6=0,即(x-2)(x-3)=0,就是x-2=0或x-3=0,解得x=2或x=3,我仿照解方程做了,没有想到别的.”甲同学不好意思地说.“解方程和解不等式 In a quiz, Teacher Yang came up with this question: When the value of x is, the fraction 1x2-5x+6 makes sense. Some students get x≠2, or x≠3. Teacher Yang has found a classmate who made a mistake. Ask him why he did this? “Since x2-5x+6=0, (x-2)(x-3)=0, that is, x-2=0 or x-3=0, the solution is x=2 or x=3, I did the same thing as solving equations. I didn’t think of anything else.” A student said embarrassedly. "Solving equations and solving inequalities