|2x-5|如何化简?|x-2|+|x-7|有如何化简?
1个回答

化简要分段讨论:

当2x-5≤0,x≤5/2时:

|2x-5|=-(2x-5)

=-2x+5

当2x-5﹥0,x﹥5/2时:

|2x-5|=2x-5

当x﹤2时:x-2﹤0,x-7﹤0

|x-2|+|x-7|=-(x-2)-(x-7)

=-x+2-x+7

=-2x+9

当2≤x≤7时:

|x-2|+|x-7|=x-2-(x-7)

=x-2-x+7

=5

当x﹥7时:

|x-2|+|x-7|=x-2+x-7

=2x-9