Question
Download Solution PDFयदि A = { x : x ∈ N, 0 < x < 6} और B = {x : x एक अभाज्य प्राकृतिक संख्या है, 0 < x < 10} है, तो A - B ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
दो समुच्चयों का अंतर:
माना कि A और B दो समुच्चय हैं। A और B के बीच अंतर को (A - B) के रूप में दर्शाया गया है।
यह A के उन सभी तत्वों का समुच्चय है जो B में मौजूद नहीं हैं अर्थात् {x : x ∈ A और x ∉ B}।
दो समुच्चयों के अंतर का वेंन आरेख प्रतिनिधित्व नीचे दर्शाया गया है।
n(A - B) = n(A) - n(A ∩ B)
गणना:
दिया गया है:
A = { x : x ∈ N, 0 < x < 6}
B = {x : x एक अभाज्य प्राकृतिक संख्या है, 0 < x < 10}
A = { x : x ∈ N, 0 < x < 6}
A = {1, 2, 3, 4, 5}
B = {x : x एक अभाज्य प्राकृतिक संख्या है, 0 < x < 10}
B = {2, 3, 5, 7}
A - B = {1, 2, 3, 4, 5} - {2, 3, 5, 7}
= {1, 4}
∴ A - B का मान {1, 4} है।
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