असमानताओं \(x+2y\geq 8\), \(2x+y\geq 10\), \(x\geq 0\), \(y\geq 0\) का हल-क्षेत्र कैसा है?

What is the nature of the solution region of \(x+2y\geq 8\), \(2x+y\geq 10\), \(x\geq 0\), and \(y\geq 0\)?

Explanation opens after your attempt
Correct Answer

D. सीमा रहित और बंदUnbounded and closed

Step 1

Concept

The \(\geq\) conditions give an upper-side region in the first quadrant. Boundaries are included and the region extends infinitely.

Step 2

Why this answer is correct

The correct answer is D. सीमा रहित और बंद / Unbounded and closed. The \(\geq\) conditions give an upper-side region in the first quadrant. Boundaries are included and the region extends infinitely.

Step 3

Exam Tip

\(\geq\) वाली शर्तें प्रथम चतुर्थांश में ऊपर की ओर क्षेत्र देती हैं। सीमाएं शामिल हैं और क्षेत्र अनंत तक जाता है।

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Mathematics Answer, Explanation and Revision Hints

असमानताओं \(x+2y\geq 8\), \(2x+y\geq 10\), \(x\geq 0\), \(y\geq 0\) का हल-क्षेत्र कैसा है? / What is the nature of the solution region of \(x+2y\geq 8\), \(2x+y\geq 10\), \(x\geq 0\), and \(y\geq 0\)?

Correct Answer: D. सीमा रहित और बंद / Unbounded and closed. Explanation: \(\geq\) वाली शर्तें प्रथम चतुर्थांश में ऊपर की ओर क्षेत्र देती हैं। सीमाएं शामिल हैं और क्षेत्र अनंत तक जाता है। / The \(\geq\) conditions give an upper-side region in the first quadrant. Boundaries are included and the region extends infinitely.

Which concept should I revise for this Mathematics MCQ?

The \(\geq\) conditions give an upper-side region in the first quadrant. Boundaries are included and the region extends infinitely.

What exam hint can help solve this Mathematics question?

\(\geq\) वाली शर्तें प्रथम चतुर्थांश में ऊपर की ओर क्षेत्र देती हैं। सीमाएं शामिल हैं और क्षेत्र अनंत तक जाता है।