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Relation R is the set N of natural numbers defined as R = (x, y): y=x+5 and x < y}.
cbse
class12
modelpaper
2012
sec-a
q1
math
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asked
Jan 10, 2013
by
thanvigandhi_1
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Related questions
Give an example to show that the relation R in the set of natural numbers, defined by \( R = ( (x,y), x, y \in\: N, x \leq \: y^2) \) is not transitive.
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Let N be the set of natural numbers and R be the relation in N defined as \(R = {(a, b) : a = b – 2, b > 6}\). Then \[ \begin{array} ((A)\: (2, 4) ∈ R \quad & (B)\: (3, 8) ∈ R \\ (C) \: (6, 8) ∈ R \quad & (D)\: (8, 7) ∈ R. \end{array} \]
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Show that the relation R in the set R of real numbers, defined as \( R = {( a, b ) : a \leq b^2}\), is neither reflexive, nor symmetric , nor transitive.
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Relation R in the set of Z of all integers defined as R = {(x, y) : x-y is an integer }.
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Let N be the set of all natural numbers and R be the relation on N x N defined by (a, b) R (c, d) if ad = bc. Show that R is an equivalence relation.
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Relation $R$ in a set $N$ of natural numbers defined as $R=\{(x,y):y=x+5$ and $x<4\}$. Which of the following is true about $R$?
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Mar 7, 2013
by
balaji.thirumalai
1
answer
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