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Linear Inequali...

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  • Question 1
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    Directions For Questions

    Solve the linear inequations graphically:
    $$2x+3y > 2$$
    $$x-y < 0$$
    $$y \geq 0$$
    $$x \leq 3$$

    ...view full instructions

    How many solutions does this set include?

  • Question 2
    1 / -0

    Directions For Questions

    Solve the linear inequations graphically:
    $$2x+3y > 2$$
    $$x-y < 0$$
    $$y \geq 0$$
    $$x \leq 3$$

    ...view full instructions

    Which of the following points lie in the solution set?

  • Question 3
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    Consider the linear inequations and solve them graphically:
    $$3x-y-2 > 0;\,\,\, x+y \leq 4;\,\,\, x >0;\,\,\, y \geq 0$$.

    The solution region of these inequations is a convex polygon with _____ sides.

  • Question 4
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    Find solution of following inequality also show it graphically.
    $$x+3<5,x\in R$$

  • Question 5
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    Find solution of following inequality, also show it graphically.
    $$x-5\geq-7,x\in R$$

  • Question 6
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    Find solution of following inequality, also show it graphically:
    $$x+3\leq5,x\in Z$$

  • Question 7
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    Directions For Questions

    A manufacturer produces two products $$A$$ and $$B$$. Product $$A$$ fetches him a profit of Rs. $$24$$ and product $$B$$ fetches him a profit of Rs. $$14$$. It takes $$15$$ minutes to manufacture one unit of product $$A$$ and $$5$$ minutes to manufacture one unit of product $$B$$. There is a limit of $$30$$ units to the quantity of $$B$$ of manufactured due to a constraint on the availability of materials. The minimum profit that the company decides to make is Rs. $$1000$$. The workers work for a maximum of $$10$$ hours a day.

    ...view full instructions

    Formulate the equations for the above problem.
    ($$x$$ and $$y$$ are the number of units of $$A$$ and $$B$$ manufactured in a day respectively)

  • Question 8
    1 / -0

    Find solution of following inequality also show it graphically.
    $$x<5,x\in Z$$.

  • Question 9
    1 / -0

    Find solution of following inequality, also show it graphically:
    $$x+3\leq5,x\in N$$

  • Question 10
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    Consider the linear inequations and solve them graphically:
    $$3x-y-2 > 0;\,\,\, x+y \leq 4;\,\,\, x >0;\,\,\, y \geq 0$$.
    Which of the following are corner points of the convex polygon region of the solution?

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