Question
Download Solution PDFयदि A = {1, 2, 3, 4, 5} , B = {1, 4, 5} और R = {(a, b): a ∈ A, b ∈ B और a < b} है, तो R का डोमेन ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
एक संबंध का डोमेन: माना कि R समुच्चय A से समुच्चय B तक एक संबंध है। तो संबंध R से संबंधित क्रमबद्ध युग्म के सभी पहले घटकों का समुच्चय संबंध R का डोमेन बनाता है।
अर्थात् डोमेन (R) = {a: (a, b) ∈ R}
गणना:
दिया गया है: A = {1, 2, 3, 4, 5} , B = {1, 4, 5} और R = {(a, b): a ∈ A, b ∈ B और a < b}
यहाँ, हमें R का डोमेन ज्ञात करना है।
⇒ R = {(1, 4), (1, 5), (2, 4) , (2, 5), (3, 4), (3, 5), (4, 5)}
चूँकि हम जानते हैं कि, डोमेन (R) = {a: (a, b) ∈ R}
इसलिए, दिए गए संबंध R के लिए, हमारे पास निम्न है
डोमेन (R) = {1, 2, 3, 4}
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