असमानताओं \(2x+y\geq 5\), \(x+2y\geq 5\), \(x\geq 0\), \(y\geq 0\) का हल-क्षेत्र कैसा है?

What is the nature of the solution region of \(2x+y\geq 5\), \(x+2y\geq 5\), \(x\geq 0\), \(y\geq 0\)?

Explanation opens after your attempt
Correct Answer

A. सीमा रहित और बंदUnbounded and closed

Step 1

Concept

Both inequalities select the upper sides of the lines, and in the first quadrant the region extends infinitely. Since \(\geq\) is used, boundaries are included.

Step 2

Why this answer is correct

The correct answer is A. सीमा रहित और बंद / Unbounded and closed. Both inequalities select the upper sides of the lines, and in the first quadrant the region extends infinitely. Since \(\geq\) is used, boundaries are included.

Step 3

Exam Tip

दोनों असमानताएं रेखाओं के ऊपर वाले भाग को चुनती हैं और प्रथम चतुर्थांश में क्षेत्र ऊपर की ओर अनंत है। \(\geq\) होने से सीमाएं शामिल हैं।

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Mathematics Answer, Explanation and Revision Hints

असमानताओं \(2x+y\geq 5\), \(x+2y\geq 5\), \(x\geq 0\), \(y\geq 0\) का हल-क्षेत्र कैसा है? / What is the nature of the solution region of \(2x+y\geq 5\), \(x+2y\geq 5\), \(x\geq 0\), \(y\geq 0\)?

Correct Answer: A. सीमा रहित और बंद / Unbounded and closed. Explanation: दोनों असमानताएं रेखाओं के ऊपर वाले भाग को चुनती हैं और प्रथम चतुर्थांश में क्षेत्र ऊपर की ओर अनंत है। \(\geq\) होने से सीमाएं शामिल हैं। / Both inequalities select the upper sides of the lines, and in the first quadrant the region extends infinitely. Since \(\geq\) is used, boundaries are included.

Which concept should I revise for this Mathematics MCQ?

Both inequalities select the upper sides of the lines, and in the first quadrant the region extends infinitely. Since \(\geq\) is used, boundaries are included.

What exam hint can help solve this Mathematics question?

दोनों असमानताएं रेखाओं के ऊपर वाले भाग को चुनती हैं और प्रथम चतुर्थांश में क्षेत्र ऊपर की ओर अनंत है। \(\geq\) होने से सीमाएं शामिल हैं।