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Show that the solution set of the follow...

Show that the solution set of the following linear inequations is an unbounded set: `x+"y"geq9,3x+ygeq12 ,xgeq0,ygeq0.`

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Knowledge Check

  • The solution set of the inequation x+2yge3 is

    A
    half plane containing the origin
    B
    half plane not containing the origin
    C
    the whole XY-plane except point lying on line `x+2y-3=0`
    D
    open half plane not containing the origin
    • RD SHARMA-LINEAR INEQUATIONS-Solved Examples And Exercises
    1. Show that the solution set of the following linear inequations is an...

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    2. Solve the following inequations grapihically: (i)|x|lt=3 (ii) |y-x|l...

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    3. Exhibit graphically the solution set of the linear inequations x+"y...

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    4. Solve each of the following system of equations in Rdot x+5>2(x+1)...

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    5. Solve the following linear inequations: (x-3)/(x-5)>0 (ii) (x-2)/(x+5...

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    6. Solve: 5lt=(2-3x)/4lt=9

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    7. Solve the following system of linear inequations 2(2x+3)-10lt6(x-2) (...

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    8. Solve the following linear inequations in Rdot (5x)/2+(3x)/4geq(39)/4

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    9. Solve the following system of linear inequations: 3x-6geq0 , 4x-10...

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    10. Solve the following linear inequations in Rdot (7x-5)/(8x+3)<4

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    11. Solve the following linear inequations in Rdot (5x+8)/(4-x)<2

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    12. A company manufactures cassettes and its cost and revenue functions...

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    13. A solution is to be kept between 68oF and 77oF . What is the range in ...

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    14. Show that the following system of linear equations has no solution:...

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    15. Solve each of the following system of equations in Rdot 0<(-x)/2<3

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    16. Solve each of the following system of equations in Rdot (2x-3)/4-2...

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    17. Write the solution set of inequation |x+1/x|> 2.

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    18. Solve each of the following system of equations in Rdot (|x-1|-1)/...

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    19. write the solution set of inequation: |1/(x-2)| &lt;4,x!=4.

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    20. Solve each of the following system of equations in Rdot |x-1|+|x...

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