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What is the solution of the inequality \(\frac{x+5}{2}+\frac{x-1}{4}\geq 6\)?असमानता \(\frac{x+5}{2}+\frac{x-1}{4}\geq 6\) का हल क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(x\geq 5\)\(x\geq 5\)
Multiply both sides by 4 to clear the denominators. Since 4 is positive, the inequality sign does not change: \(2(x+5)+(x-1)\geq 24\). Thus, \(3x+9\geq 24\), so \(3x\geq 15\) and \(x\geq 5\). Therefore, option A is correct.हर हटाने के लिए दोनों पक्षों को 4 से गुणा करें। 4 धनात्मक है, इसलिए असमानता का चिह्न नहीं बदलेगा: \(2(x+5)+(x-1)\geq 24\)। अतः \(3x+9\geq 24\), इसलिए \(3x\geq 15\) और \(x\geq 5\)। इसलिए विकल्प A सही है।
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