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The solution set of linear constraints x...

The solution set of linear constraints `x-2yge0, 2x-yle-2` and `x,yge0` is

A

`(-4/3,-2/3)`

B

`(1,1)`

C

`(0,2/3)`

D

`(0,2)`

Text Solution

Verified by Experts

The correct Answer is:
A

Given `x-2y=0`

The line passes through the origin.
Now `2x-y=-2impliesx/(-1)+y/2=1`
This line meets the axis at `(-1,0)` and (0,2) join these points to obtain the line `2x-y=-2`.
The coordinate at vertex A is `(-4.3,-2/3)`.
Thus, the solution set of given linear
`(-4/3,-2/3)`.
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