Samyak Jain
Last Activity: 6 Years ago
| 1 + 3/x | > 2
- If x
-3 or x 
0 …...........(1)
| 1 + 3/x |
0
So 1 + 3/x
2 , (x + 3 – 2x) / x
0
{x(x-3)} / x
2 0 or
x(x – 3)
0, [x
2 
0]
which implies x
(0,3) …................(2)
Taking intersection of (1) & (2), we get
x (0,3) …......................(3) - If -3
x 0 ….............(4)
| 1 + 3/x |
0
So 1 + 3/x
-2 or (x + 3 + 2x) / x
0
{3 x (x + 1)} / x
2 0
x (x + 1)
0, which implies
x
(-1,0) …..........................(5)
Taking intersection of (4) & (5), we get
x (-1,0) …...................(6) From (3) & (6), x
(0,3) or
x (-1,0)Therefore, the answer should be
