Question
Download Solution PDFयदि A = {1, 2, 3, 4} और B = {3, 4, 5 ,6} है, तो A ∩ B का मान ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया है:
A = {1, 2, 3, 4} और B = {3, 4, 5 ,6}
संकल्पना:
- यदि A और B दो समुच्चय हैं, तो A ∩ B = {x : x ∈ A और x ∈ B} है।
गणना:
हमारे पास है:
A = {1, 2, 3, 4} और B = {3, 4, 5 ,6}
चूँकि हम जानते हैं कि, यदि A और B दो समुच्चय हैं, तो A ∩ B = {x : x ∈ A और x ∈ B} है।
⇒ A ∩ B = {3, 4}
चूँकि हम जानते हैं कि, तत्वों की सीमित संख्या वाले किसी समुच्चय को सीमित समुच्चय कहा जाता है।
हम देख सकते हैं कि A ∩ B में तत्वों की सीमित संख्या शामिल होती है अर्थात् A ∩ B एक सीमित समुच्चय है।
अतः विकल्प 1 सही है।
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