यदि \(A={x:x\in\mathbb{R},\ x<2}\) और \(B={x:x\in\mathbb{R},\ x>-1}\), तो \(A\cup B\) क्या है?
If \(A={x:x\in\mathbb{R},\ x<2}\) and \(B={x:x\in\mathbb{R},\ x>-1}\), what is \(A\cup B\)?
Explanation opens after your attempt
Correct Answer
A. \(\mathbb{R}\)
Concept
Every real number is either less than (2) or greater than (-1), so the union is \(\mathbb{R}\). In unions, visualize the whole number line.
Why this answer is correct
The correct answer is A. \(\mathbb{R}\). Every real number is either less than (2) or greater than (-1), so the union is \(\mathbb{R}\). In unions, visualize the whole number line.
Exam Tip
हर वास्तविक संख्या या तो (2) से छोटी है या (-1) से बड़ी है, इसलिए संघ \(\mathbb{R}\) है। संघ में क्षेत्रों को मिलाकर पूरी रेखा देखें।
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