Topic Details (Notes format)

How to Solve Systems of Inequalities Word Problems

Subject: Mathematics

Book: Maths Mastery

Many real-world constraints call for multiple inequalities, like “Work hours ≤ 40, wage/hour ≥ ₹100, and total weekly pay ≥ ₹3,500.” Represent each constraint as an inequality, then find the feasible region if you have two or more variables. For instance, x≥100, y≤40, and xy≥3,500 in some context. Graphing or systematically analyzing these inequalities reveals possible solutions. Industrial engineering, resource allocation, or scheduling tasks rely heavily on systems of inequalities for optimization. Mastering them fosters an ability to handle advanced planning with multiple constraints or objectives.

Practice Questions

The simple interest on Rs. 4000 at 5% per annum for 2 years is:

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What is the sum of the first 20 odd numbers?

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What is the value of log₃(27)?

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What is the sum of all even numbers between 1 and 100?

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If a+b = 10 and ab = 21, what is the value of a^3 + b^3?

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If a right triangle has legs of 9 cm and 12 cm, what is the length of the hypotenuse?

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If x^2 - 5x + 6 = 0, what are the roots?

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If a:b = 7:9 and b:c = 5:6, what is a:c?

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If sin(x) = 3/5 and x is in the first quadrant, what is cos(x)?

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The probability of rolling a sum of 7 with two dice is:

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