Question

The values of x that satisfy the inequality \[(2x-3)/(x+4) <-3 (x \neq-4)\] lie in the interval

Answer 1

@CoCoTsoi @traile

Answer 2

(2x−3)/(x+4)<−3
((2x-3) / (x+4) ) (x+4) < -3(x+4)
2x-3 < -3x-12
2x-3 +3x<-3x-12 +3x
5x-3 < -12
5x-3+3 < -12+3
5x<-9
5x/5<-9/5
x<-9/5

Answer 3

the answer is (-4 , -9/5)

Answer 4

Is it only given that x is not -4 ?

Answer 5

yes ii am also confused

Answer 6

I am confused too.

Answer 7

the answer must be (-infinity, -4) union (-9/5, +infinity)

Answer 8

because it is a rational graph so there are two answer for intervals, that is what I think