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Solve the inequality \(\frac{x-4}{-2}\ge 6\).असमानता \(\frac{x-4}{-2}\ge 6\) को हल कीजिए।
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(x\le -8\)\(x\le -8\)
Multiply both sides by \(-2\) (a negative number), so the inequality sign reverses:
\[\frac{x-4}{-2}\ge 6\Rightarrow x-4\le 6\cdot(-2)\Rightarrow x-4\le -12\Rightarrow x\le -8.\]दोनों पक्षों को \(-2\) से गुणा कीजिए (ऋणात्मक संख्या), इसलिए असमानता का चिन्ह उलट जाएगा:
\[\frac{x-4}{-2}\ge 6\Rightarrow x-4\le 6\cdot(-2)\Rightarrow x-4\le -12\Rightarrow x\le -8.\]
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