Savings Plan Conundrum?
Rahul wants to save money for buying a new laptop. He plans to set aside a certain amount from his monthly allowance for 4 months. If he saves Rs. 150 more each month than his usual saving, he will be able to buy the laptop after 3 months less than planned. How much more does Rahul save each month than his usual amount, if his usual savings is Rs. 400 and the laptop costs Rs. 60,000?
1 Answer
📌 CONCEPT: A linear inequality is an inequality involving a linear expression, which can be solved using algebraic techniques to find the solution set.
📐 RULE / FORMULA: If x is the variable and k is the constant, the solution set of a linear inequality can be represented as x ≥ k or x ≤ k, where k is the minimum value of x that satisfies the inequality.
💡 WORKED EXAMPLE: Suppose we have the inequality 2x + 5 ≥ 11. To solve this inequality, we first subtract 5 from both sides, resulting in 2x ≥ 6. Then, we divide both sides by 2 to get x ≥ 3. Therefore, the solution set is all values of x that are greater than or equal to 3.
⚠️ COMMON MISTAKE: Students often forget to check the direction of the inequality sign when solving linear inequalities, which can lead to incorrect solutions.
09 Nov 26
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