Solve the linear inequalities
`2x - y gt 1 , x - 2y lt 1`

Answer

N/a

Explanation

First inequation : `2x - y gt 1`
Corresponding equation : `2x - y = 1`
This line passes through A(1, 1) and B (2 ,3). Join AB by dotted line. At point (0, 0), from the inequation,`0 gt 1` (False) `:.` The solution of this inequation ia that region of XY-plane divided by line AB in which (0, 0) does not lie.
Second inequation : `x - 2y lt - 1`
Corresponding equation : `x - 2y = -1`
This line passes through A(1, 1) and C(-1, 0). At point (0, 0) , from the inequation, `0 lt -1 (False)`
`:.` The solution of this inequation is that region of XY-plane divided by line AB in which (0, 0) does not lie.

` The common solution of two inequations is shown by the shaded part.