Question

resolva em r as inequações
A) x - 3 / 2x - 1 >= 4
B) -4x +1 / x - 2 < - 2
C) x / x - 1 <= 1

Answer 1

a) x-3/2x-1>=4
x-3>=4(2x-1)
x-3>=8x-4
x-8x>=-4+3
-7x>=-1. (-1)
7x<=1
x<=1/7

b) -4x+1/x-2<-2
-4x+1<-2(x-2)
-4x+1<-2x+4
-4x+2x<4-1
-2x<3(-1)
2x>-3

x>-3/2



c) x/x-1<1
x<x-1
0<-1