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If ( \frac{5-3x}{2}\ge -2 ), which number-line representation is correct?यदि ( \frac{5-3x}{2}\ge -2 ) है, तो संख्या रेखा पर सही प्रस्तुति कौन सी होगी?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ( x\le 3 ), closed at ( 3 ), shaded left( x\le 3 ), ( 3 ) पर बंद बिंदु और बाईं ओर छाया
Solving gives ( 5-3x\ge -4 ), then ( -3x\ge -9 ) gives ( x\le 3 ). Reverse the sign when dividing by a negative.हल करने पर ( 5-3x\ge -4 ), फिर ( -3x\ge -9 ) से ( x\le 3 ) मिलता है। ऋणात्मक से भाग देने पर चिन्ह पलटें।
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