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.
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