解不等式a(x-1)/(x-2)>1(a>0)
问题描述:
解不等式a(x-1)/(x-2)>1(a>0)
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