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:T468,{"@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/lx0kcc7e","educationalLevel":"Entrance exam preparation","about":"Comedk / Mathematics / Quadratic Equations","hasPart":{"@type":"Question","name":"Comedk 2024 Quadratic Equations PYQ with Solution","text":"\\text { The solution set for the inequality } 13 x-5","eduQuestionType":"mcq","acceptedAnswer":{"@type":"Answer","text":"A"},"comment":{"@type":"Comment","text":"To solve the compound inequality 13x - 5 1. Solve the first inequality: 13x - 5 Subtract 13x from both sides of the inequality: -5 Subtract 4 from both sides: -9 Divide both sides by 2: -\\frac{9}{2} or equivalently x > -\\frac{9}{2} 2. Solve the second inequality: 15x + 4 Subtract 7x from both sides of the inequality: 8x + 4 Subtract 4 from both sides: 8x Divide both sides by 8: x Now, we combine the results of the two inequalities: -\\frac{9}{2} Since x \\in W (set of whole numbers), the whole nu..."}}}18:T416,

To solve the compound inequality $$13x - 5 < 15x + 4 < 7x + 12$$, we need to break it into two separate inequalities and solve each part separately. Let's do this step by step:

1. Solve the first inequality: $$13x - 5 < 15x + 4$$

Subtract $$13x$$ from both sides of the inequality:

$$-5 < 2x + 4$$

Subtract 4 from both sides:

$$-9 < 2x$$

Divide both sides by 2:

Quadratic Equations

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