कौन-सी प्रणाली केवल रेखा-खंड (x+y=6) के प्रथम चतुर्थांश वाले भाग को दर्शाती है?

Which system represents only the first-quadrant line segment of (x+y=6)?

Explanation opens after your attempt
Correct Answer

A. \(x+y\le 6\), \(x+y\ge 6\), \(x\ge 0\), \(y\ge 0\)

Step 1

Concept

Together \(x+y\le 6\) and \(x+y\ge 6\) force (x+y=6). Equality can be written using two opposite inequalities.

Step 2

Why this answer is correct

The correct answer is A. \(x+y\le 6\), \(x+y\ge 6\), \(x\ge 0\), \(y\ge 0\). Together \(x+y\le 6\) and \(x+y\ge 6\) force (x+y=6). Equality can be written using two opposite inequalities.

Step 3

Exam Tip

दोनों \(x+y\le 6\) और \(x+y\ge 6\) मिलकर (x+y=6) बनाते हैं। बराबरी को दो विपरीत असमानताओं से लिखा जा सकता है।

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Mathematics Answer, Explanation and Revision Hints

कौन-सी प्रणाली केवल रेखा-खंड (x+y=6) के प्रथम चतुर्थांश वाले भाग को दर्शाती है? / Which system represents only the first-quadrant line segment of (x+y=6)?

Correct Answer: A. \(x+y\le 6\), \(x+y\ge 6\), \(x\ge 0\), \(y\ge 0\). Explanation: दोनों \(x+y\le 6\) और \(x+y\ge 6\) मिलकर (x+y=6) बनाते हैं। बराबरी को दो विपरीत असमानताओं से लिखा जा सकता है। / Together \(x+y\le 6\) and \(x+y\ge 6\) force (x+y=6). Equality can be written using two opposite inequalities.

Which concept should I revise for this Mathematics MCQ?

Together \(x+y\le 6\) and \(x+y\ge 6\) force (x+y=6). Equality can be written using two opposite inequalities.

What exam hint can help solve this Mathematics question?

दोनों \(x+y\le 6\) और \(x+y\ge 6\) मिलकर (x+y=6) बनाते हैं। बराबरी को दो विपरीत असमानताओं से लिखा जा सकता है।