1.

x + y ge 4, 2x - y lt 0

Answer»


Solution :First inequation :`x + y GE 4`
CORRESPONDING equation : `x + y =4`
It cuts the X-axis at A(4, 0) and Y-axis at B (0, 4). Join AB. At point (0, 0) from the inequation, 0`ge`4 (False)
`:.`The solution of this inequation is that REGION of XY-plane divided by line AB in which (0, 0) does not lie.
Second inequation : `2X - y lt 0 `
Corresponding equation : `2x - y = 0`
This line passes through the pointsO(0, 0) and C(2, 4). Join OC by dotted line.
At point (1, 0) , from the inequation, 2 lt 0 (False)
`:.` The solution of this inequation is that region of XY-plane divided by line OC in which (1, 0) does not lie.

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


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