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What is the solution of x le 4, y ge 0 a...

What is the solution of `x le 4, y ge 0 and x le - 4. y le 0` ?

A

a) `x ge - 4 . y le 0`

B

b) `x le 4.y ge 0`

C

c) `x le - 4. y = 0`

D

d) `x ge - 4. y = 0`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • The solution set of x - 2y ge 0, 2x - y le -2, x ge 0, y ge 0 is

    A
    Empty
    B
    Bounded
    C
    Neither empty nor bounded
    D
    None of these

  • 3x +4y le 18, 2x +3y ge 3 and x, y ge 0 is

    A
    (0,2)
    B
    (4,8,0)
    C
    (0,3)
    D
    None of these

  • If 0 le x le y le z and a ge b ge c ge 0 , then

    A
    `(a+b+c)/rinftyt3(xyz) ge a/x+b/y+ c/zge 3((a+b+c)/(x+y+z))`
    B
    ` a/x+b/y+ c/zge(a+b+c)/rinftyt3(xyz)ge 3((a+b+c)/(x+y+z))`
    C
    `3((a+b+c)/(x+y+z))ge(a+b+c)/rinftyt3(xyz)` ge a/x+b/y+ c/z`
    D
    `3((a+b+c)/(x+y+z)) ge a/x+b/y+ c/z` ge(a+b+c)/rinftyt3(xyz)`

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    Find the maximum value of x+y subjected to the condition 4x+3y le 12, 2x + 5y le 10, x le 0, x ge 0, y ge 0 .

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