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Represent mathematically the real-life inequality of your choice.

Mathematics

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Here is the solution to the remaining question:

b) Represent mathematically the real-life inequality of your choice.

  1. Choose a real-life scenario.

    Let's consider a scenario involving a budget for buying items.

  2. Define variables.

    Suppose you have a budget of Tshs 10,000 to buy pens and notebooks.
    Let pp be the cost of one pen (e.g., Tshs 500).
    Let nn be the cost of one notebook (e.g., Tshs 1,500).
    Let xx be the number of pens you buy.
    Let yy be the number of notebooks you buy.
    Your total spending must be less than or equal to your budget.

  3. Write the mathematical inequality.

    The total cost of xx pens is p×xp \times x.
    The total cost of yy notebooks is n×yn \times y.
    The total spending is p×x+n×yp \times x + n \times y.
    The budget is Tshs 10,000.

    So, the inequality is:

    p×x+n×y≤10,000p \times x + n \times y \le 10,000

    Using the example costs:

    500x+1500y≤10,000500x + 1500y \le 10,000

    This inequality represents that the total cost of pens and notebooks must not exceed Tshs 10,000.

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