Subject: Mathematics
Book: Maths Mastery
Systems of inequalities involve multiple constraints that define a region of acceptable solutions on a coordinate plane. Consider x + y ≤ 5 and x – y ≥ –1. Graph these lines (x + y = 5 and x – y = –1), then shade the areas that satisfy each inequality. The solution set is where shaded regions overlap. Systems of inequalities appear in linear optimization, resource management, and real-world planning problems like deciding feasible production levels within time and budget constraints. Mastering this visualization and computation process enables you to handle a broad range of practical optimization tasks.
A sum of money doubles itself in 5 years at simple interest. What is the rate of interest?
View QuestionA sum triples in 20 years at simple interest. What is the rate of interest per annum?
View QuestionWhat is the square root of 121?
View QuestionIf the perimeter of a square is 40 cm, what is the area of the square?
View QuestionIf x = 2 and y = 3, what is the value of (x^2 + y^2)?
View QuestionA car covers a distance of 150 km in 2.5 hours. What is its average speed?
View QuestionIf sin(x) = 3/5 and x is in the first quadrant, what is cos(x)?
View QuestionIf the ratio of two numbers is 3:5 and their HCF is 4, what are the numbers?
View QuestionWhat is the square root of 144?
View QuestionIf x^2 - 5x + 6 = 0, what are the roots?
View Question