解不等式a(x-1)/(x-2)>1(a>0)_数学解答

解不等式a(x-1)/(x-2)>1(a>0)

人气：338 ℃　时间：2020-06-19 22:30:37

解答

a(x-1)/(x-2)﹥1
a(x-1) ﹥(x-2) (x≠2)
ax-a ﹥x-2
ax-a –x+2﹥0
（a-1）x﹥a-2
a﹥1,x﹥a-2/a-1
0﹤a﹤1,x﹥a-2/a-1