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Let A = { 1, 2, 3, 4}, B = { 4, 5, 6}, C = { 5, 6}. Find (A × B) ∪ (A × C). - Mathematics and Statistics

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Sum

Let A = {1, 2, 3, 4}, B = {4, 5, 6}, C = {5, 6}. Find (A × B) ∪ (A × C).

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Solution

A = {1, 2, 3, 4}, B = {4, 5, 6}, C = {5, 6}

A × B = {(1, 4), (1, 5), (1, 6), (2, 4), (2, 5), (2, 6), (3, 4), (3, 5), (3, 6), (4, 4), (4, 5), (4, 6)}

A × C = {(1, 5), (1, 6), (2, 5), (2, 6), (3, 5), (3, 6), (4, 5), (4, 6)}

∴ (A × B) ∪ (A × C)

= {(1, 4), (1, 5), (1, 6), (2, 4), (2, 5), (2, 6), (3, 4), (3, 5), (3, 6), (4, 4), (4, 5), (4, 6)}

Concept: Types of Relations
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Balbharati Mathematics and Statistics 1 (Commerce) 11th Standard Maharashtra State Board
Chapter 1 Sets and Relations
Exercise 1.2 | Q 5. (iv) | Page 16
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