असमानताओं \(x+y\le 1\) और \(x+y\ge 4\) का संयुक्त हल क्या है?

What is the common solution of \(x+y\le 1\) and \(x+y\ge 4\)?

Explanation opens after your attempt
Correct Answer

C. रिक्त समुच्चयempty set

Step 1

Concept

No value can be both less than or equal to (1) and greater than or equal to (4) at the same time. Hence there is no common solution.

Step 2

Why this answer is correct

The correct answer is C. रिक्त समुच्चय / empty set. No value can be both less than or equal to (1) and greater than or equal to (4) at the same time. Hence there is no common solution.

Step 3

Exam Tip

कोई संख्या एक साथ (1) से कम या बराबर और (4) से अधिक या बराबर नहीं हो सकती। इसलिए संयुक्त हल नहीं है।

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Mathematics Answer, Explanation and Revision Hints

असमानताओं \(x+y\le 1\) और \(x+y\ge 4\) का संयुक्त हल क्या है? / What is the common solution of \(x+y\le 1\) and \(x+y\ge 4\)?

Correct Answer: C. रिक्त समुच्चय / empty set. Explanation: कोई संख्या एक साथ (1) से कम या बराबर और (4) से अधिक या बराबर नहीं हो सकती। इसलिए संयुक्त हल नहीं है। / No value can be both less than or equal to (1) and greater than or equal to (4) at the same time. Hence there is no common solution.

Which concept should I revise for this Mathematics MCQ?

No value can be both less than or equal to (1) and greater than or equal to (4) at the same time. Hence there is no common solution.

What exam hint can help solve this Mathematics question?

कोई संख्या एक साथ (1) से कम या बराबर और (4) से अधिक या बराबर नहीं हो सकती। इसलिए संयुक्त हल नहीं है।