solve (x+2)/x>=0.2 with steps

Answer 1

x/x + 2/x ≥ .2

1 + 2/x ≥ .2

2/x ≥ -.8

2 ≥ -.8 x

-5/2 ≤ x

Answer 2

(x+2)/x >= 1/5

If x>0,
x+2 >= x/5
4x/5 >= -2
x >= -5/2
So, x > 0

If x<0,
x+2 <= x/5
4x/5 <= -2
x <= -5/2
So, x <= -5/2

So, in interval notation, x is in
(-∞,-5/2]U(0,∞)

Answer 3

I found the same answer but answer is

x<-5/2

see on wolfram alpha

Answer 4

thanks steve