16:I[8216,["972","static/chunks/972-b28da0de92681928.js","47","static/chunks/47-a7f06e9eda1ac756.js","115","static/chunks/app/%5Bexam%5D/questions/%5Byear%5D/%5Bsubject%5D/%5Bchapter%5D/%5BquestionId%5D/page-7b6f0a12b9cc0206.js"],"BackButton"] 17:I[1553,["972","static/chunks/972-b28da0de92681928.js","47","static/chunks/47-a7f06e9eda1ac756.js","115","static/chunks/app/%5Bexam%5D/questions/%5Byear%5D/%5Bsubject%5D/%5Bchapter%5D/%5BquestionId%5D/page-7b6f0a12b9cc0206.js"],"QuestionViewer"] 15:T4b4,{"@context":"https://schema.org","@type":"Quiz","name":"Comedk 2024 Quadratic Equations PYQ with Solution","url":"https://pyq-test-series-platform-alsjdcxu2-sameers-projects-41c5a71e.vercel.app/comedk/questions/2024/mathematics/quadratic-equations/lwozhnqo","educationalLevel":"Entrance exam preparation","about":"Comedk / Mathematics / Quadratic Equations","hasPart":{"@type":"Question","name":"Comedk 2024 Quadratic Equations PYQ with Solution","text":"\\text { If } \\frac{1}{2}\\left(\\frac{3 x}{5}+4\\right) \\geq \\frac{1}{3}(x-6), x \\in R \\text { then }","eduQuestionType":"mcq","acceptedAnswer":{"@type":"Answer","text":"B"},"comment":{"@type":"Comment","text":"Given the inequality: \\frac{1}{2}\\left(\\frac{3 x}{5}+4\\right) \\geq \\frac{1}{3}(x-6) First, let's remove the fractions by multiplying both sides by 6 (the least common multiple of 2 and 3): 6 \\cdot \\frac{1}{2}\\left(\\frac{3 x}{5}+4\\right) \\geq 6 \\cdot \\frac{1}{3}(x-6) This simplifies to: 3 \\left(\\frac{3 x}{5}+4\\right) \\geq 2 (x-6) Next, distribute the 3 and the 2 inside the parentheses: 3 \\cdot \\frac{3 x}{5} + 3 \\cdot 4 \\geq 2 \\cdot x - 2 \\cdot 6 Which further simplifies to: \\frac{9x}{5} + 12 \\ge..."}}}18:T491,

Given the inequality:

$$ \frac{1}{2}\left(\frac{3 x}{5}+4\right) \geq \frac{1}{3}(x-6) $$

First, let's remove the fractions by multiplying both sides by 6 (the least common multiple of 2 and 3):

$$ 6 \cdot \frac{1}{2}\left(\frac{3 x}{5}+4\right) \geq 6 \cdot \frac{1}{3}(x-6) $$

This simplifies to:

Quadratic Equations

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