Business Mathematics, Logical Reasoning and Statistics
Linear Inequalities
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Linear Inequalities: Word Problems

Complete study guide with 5 practice questions, detailed explanations, and expert solutions for Linear Inequalities: Word Problems in CA Foundation Business Mathematics, Logical Reasoning and Statistics.

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Study Notes: Linear Inequalities: Word Problems

Free study material for CA Foundation Business Mathematics, Logical Reasoning and StatisticsLinear Inequalities

Word problems involving equations require translating English to mathematical form. Steps: (1) Define variables for unknowns; (2) Translate statements to equations; (3) Solve equations; (4) Interpret and verify answer. Common problem types: Age problems (Person A is 5 more than B); Distance problems (Rate × Time = Distance); Work problems (1/A + 1/B = 1/T for combined work); Number problems. Example: 'Two numbers differ by 8, product is 20. Find numbers.' Let x and x+8. Then x(x+8) = 20 → x² + 8x - 20 = 0 → x = 2 or -10. Numbers: 2 and 10 (or -10 and -2). Shortcut: Set up equations carefully; verify both solutions in original context. Exam tip: Check for extraneous solutions (e.g., negative time not valid).

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