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Let the Relation R Be Defined on N by Arb Iff 2a + 3b = 30. Then Write R as a Set of Ordered Pairs

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Question

Let the relation R be defined on N by aRb iff 2a + 3b = 30. Then write R as a set of ordered pairs

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Solution

As, R = {(a, b) : 2a + 3b = 30; a, b ∈ N}

So, R = {(3, 8), (6, 6), (9, 4), (12, 2)}

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Chapter 1: Relations - Exercise 1.3 [Page 30]

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R.D. Sharma Mathematics Volume 1 and 2 [English] Class 12
Chapter 1 Relations
Exercise 1.3 | Q 23 | Page 30

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