सिस्टम \(2x+y \ge 8\), \(x+y \le 6\), \(x \ge 0\), \(y \ge 0\) का समाधान क्षेत्र कौन सा बिंदु शामिल करता है?

Which point is included in the solution region of \(2x+y \ge 8\), \(x+y \le 6\), \(x \ge 0\), \(y \ge 0\)?

Explanation opens after your attempt
Correct Answer

B. ((3,2))

Step 1

Concept

At ((3,2)), (2x+y=8) and (x+y=5), so all conditions are satisfied. In a common solution, every inequality must be true.

Step 2

Why this answer is correct

The correct answer is B. ((3,2)). At ((3,2)), (2x+y=8) and (x+y=5), so all conditions are satisfied. In a common solution, every inequality must be true.

Step 3

Exam Tip

((3,2)) पर (2x+y=8) और (x+y=5), इसलिए सभी शर्तें पूरी होती हैं। संयुक्त समाधान में हर असमानता सत्य होनी चाहिए।

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Mathematics Answer, Explanation and Revision Hints

सिस्टम \(2x+y \ge 8\), \(x+y \le 6\), \(x \ge 0\), \(y \ge 0\) का समाधान क्षेत्र कौन सा बिंदु शामिल करता है? / Which point is included in the solution region of \(2x+y \ge 8\), \(x+y \le 6\), \(x \ge 0\), \(y \ge 0\)?

Correct Answer: B. ((3,2)). Explanation: ((3,2)) पर (2x+y=8) और (x+y=5), इसलिए सभी शर्तें पूरी होती हैं। संयुक्त समाधान में हर असमानता सत्य होनी चाहिए। / At ((3,2)), (2x+y=8) and (x+y=5), so all conditions are satisfied. In a common solution, every inequality must be true.

Which concept should I revise for this Mathematics MCQ?

At ((3,2)), (2x+y=8) and (x+y=5), so all conditions are satisfied. In a common solution, every inequality must be true.

What exam hint can help solve this Mathematics question?

((3,2)) पर (2x+y=8) और (x+y=5), इसलिए सभी शर्तें पूरी होती हैं। संयुक्त समाधान में हर असमानता सत्य होनी चाहिए।