(x-3)/(x+1) > 5
i solved and got x < -2
but this is not right once you plug it in. please help.
3 answers
it should be x>-3
Not so. If x=-5/2, y=11/3 < 5
(x-3)/(x+1) > 5
if x > -1,
x-3 > 5(x+1)
x-3 > 5x+5
-8 > 4x
x < -2
but, we assumed x > -1, so that's a no-go
If x < -1,
x-3 < 5(x+1)
x-3 < 5x+5
-8 < 4x
x > -2
So, we have -2 < x < -1
(x-3)/(x+1) > 5
if x > -1,
x-3 > 5(x+1)
x-3 > 5x+5
-8 > 4x
x < -2
but, we assumed x > -1, so that's a no-go
If x < -1,
x-3 < 5(x+1)
x-3 < 5x+5
-8 < 4x
x > -2
So, we have -2 < x < -1
opps sorry made some calculation mistakes....