यदि \(x\ge -2\) है, तो \(-\frac{x}{2}+5\) के लिए सही कथन कौन सा है?
If \(x\ge -2\), which statement about \(-\frac{x}{2}+5\) is correct?
Explanation opens after your attempt
Correct Answer
A. \(-\frac{x}{2}+5\le 6\)
Concept
Multiplying \(x\ge -2\) by \(-\frac{1}{2}\) gives \(-\frac{x}{2}\le 1\), then adding (5) gives \(-\frac{x}{2}+5\le 6\). A negative multiplier reverses the sign.
Why this answer is correct
The correct answer is A. \(-\frac{x}{2}+5\le 6\). Multiplying \(x\ge -2\) by \(-\frac{1}{2}\) gives \(-\frac{x}{2}\le 1\), then adding (5) gives \(-\frac{x}{2}+5\le 6\). A negative multiplier reverses the sign.
Exam Tip
\(x\ge -2\) को \(-\frac{1}{2}\) से गुणा करने पर \(-\frac{x}{2}\le 1\), फिर (5) जोड़ने पर \(-\frac{x}{2}+5\le 6\) मिलता है। ऋणात्मक गुणक चिन्ह उलटता है।
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