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.
The sum of the squares of two consecutive integers is 145. What are the integers?
View QuestionThe LCM of two numbers is 60, and their HCF is 5. If one of the numbers is 20, what is the other number?
View QuestionIf x = 2 and y = 3, what is the value of (x^2 + y^2)?
View QuestionWhat is the square root of 144?
View QuestionWhat is the sum of the interior angles of a hexagon?
View QuestionA sum of money doubles itself in 5 years at simple interest. What is the rate of interest?
View QuestionWhat is the length of the diagonal of a square with a side length of 7 cm?
View QuestionWhat is the sum of all odd numbers from 1 to 99?
View QuestionIf a right triangle has legs of 9 cm and 12 cm, what is the length of the hypotenuse?
View QuestionWhat is the HCF of 48 and 180?
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