Question

2x - y >= 1
x - 2y <= - 1
solve the linear inequality graphically
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Answer 1

Answer:

Consider 2x−y>1................(1)

Draw the graph of 2x−y>1 by dotted line.

It passes through (

2

1

, 0) [ and (0, -1).

Join these points put x = 0 and y = 0 in (1), we get 0−0>1 which is false.

∴ Solution set of (1) is not containing the origin.

Consider x−2y<−1................(2)

Draw the graph of x−2y<−1 by dotted line.

It passes through (-1, 0) and (-1, 0) and (0,

2

1

)

Join these points, put x = 0 and y = 0 in (2), we get 0−0<−1 which is false.

∴ Solution set of (2) is not containing the origin.

Hence, the shaded region represents the solution set of the given system of inequations