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Draw the diagrams of the solution sets o...

Draw the diagrams of the solution sets of the following linear constraints:
`2x+y-3ge0,x-2y+1le0,xge0,yge0`.

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Draw the diagrams of the solution sets of the following linear constraints: 3x+4yge12,x+2yle3,xle3,xge0,yge1 .

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Knowledge Check

  • 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)`

  • The area of the feasible region for the following constraints 3y+xge3,xge0,yge0 will be

    A
    Bounded
    B
    Unbounded
    C
    Convex
    D
    Concave

  • The constraints -x+yle1,-x+3yle9,xge0,yge0 defines

    A
    bounded feasible region
    B
    unbounded feasible region
    C
    both bounded and unbounded region
    D
    unique solution

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    Explore conceptually related problems

    Draw the diagrams of the solution sets of the following (3 - 6) linear constraints: 3x+ 2y le 8, 3x + 2y le 12, x, y ge 0

    Verify that the solution set of the following constraints is empty : 3x + 4y ge 12, x + 2y le 3, x ge 0, y ge 1 .

    Draw the graph of the solution set of the inequation 2x + y ge 2, x-y le 1, x+ 2y le 8, x ge 0 and y ge 0

    Solve the following inequation graphically x+yge0,3x+4yle12,x-2yle2,xge0,yge0 .

    Draw the graph of the solution set of the system of inequations 2x+3yle 4, xge0and y ge 0.

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