यदि \(A={x:x}\in Z\) और |x-2|<2 तथा B={1,2,3} हैं तो कौन सा कथन सही है?
If A={x:x∈Z and ∣x−2∣<2} and B={1,2,3}, then which statement is correct?
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Correct Answer
A. (A=B)
Concept
The inequality (|x-2|<2) gives integer values (1,2,3), so the sets are equal. In exams solve the inequality first and write roster form.
Why this answer is correct
The correct answer is A. (A=B). The inequality (|x-2|<2) gives integer values (1,2,3), so the sets are equal. In exams solve the inequality first and write roster form.
Exam Tip
(|x-2|<2) से पूर्णांक मान (1,2,3) मिलते हैं इसलिए दोनों समुच्चय बराबर हैं। परीक्षा में असमता को पहले हल करके रोस्टर रूप लिखें।
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