116832 Let \(R\) be the relation on the set \(R\) of all real number defined by \(a R b\) if \(|a-b| \leq 1\), then \(R\) is

116833 Let \(R=\{(1,3)(4,2),(2,4),(2,3),(3,1)\}\) be a relation on the set \(A=\{1,2,3,4\}\). The relation \(R\) is

116834 On the set \(R\) of real numbers we define \(x P y\) if and only if \(x y \geq 0\). Then, the relation \(P\) is

116835 Let \(R_1\) and \(R_2\) be two relations defined as follows
\(\mathbf{R}_1=\left\{(\mathbf{a}, \mathbf{b}) \in \mathbf{R}^2: \mathbf{a}^2+\mathbf{b}^2 \in \mathbf{Q}\right\}\)
\(\mathbf{R}_2=\left\{(\mathbf{a}, \mathbf{b}) \in \mathbf{R}^2: \mathbf{a}^2+\mathbf{b}^2 \notin \mathbf{Q}\right\}\)
where \(Q\) is the set of all rational numbers. Then

116832 Let \(R\) be the relation on the set \(R\) of all real number defined by \(a R b\) if \(|a-b| \leq 1\), then \(R\) is

116833 Let \(R=\{(1,3)(4,2),(2,4),(2,3),(3,1)\}\) be a relation on the set \(A=\{1,2,3,4\}\). The relation \(R\) is

116834 On the set \(R\) of real numbers we define \(x P y\) if and only if \(x y \geq 0\). Then, the relation \(P\) is

116835 Let \(R_1\) and \(R_2\) be two relations defined as follows
\(\mathbf{R}_1=\left\{(\mathbf{a}, \mathbf{b}) \in \mathbf{R}^2: \mathbf{a}^2+\mathbf{b}^2 \in \mathbf{Q}\right\}\)
\(\mathbf{R}_2=\left\{(\mathbf{a}, \mathbf{b}) \in \mathbf{R}^2: \mathbf{a}^2+\mathbf{b}^2 \notin \mathbf{Q}\right\}\)
where \(Q\) is the set of all rational numbers. Then

116832 Let \(R\) be the relation on the set \(R\) of all real number defined by \(a R b\) if \(|a-b| \leq 1\), then \(R\) is

116833 Let \(R=\{(1,3)(4,2),(2,4),(2,3),(3,1)\}\) be a relation on the set \(A=\{1,2,3,4\}\). The relation \(R\) is

116834 On the set \(R\) of real numbers we define \(x P y\) if and only if \(x y \geq 0\). Then, the relation \(P\) is

116835 Let \(R_1\) and \(R_2\) be two relations defined as follows
\(\mathbf{R}_1=\left\{(\mathbf{a}, \mathbf{b}) \in \mathbf{R}^2: \mathbf{a}^2+\mathbf{b}^2 \in \mathbf{Q}\right\}\)
\(\mathbf{R}_2=\left\{(\mathbf{a}, \mathbf{b}) \in \mathbf{R}^2: \mathbf{a}^2+\mathbf{b}^2 \notin \mathbf{Q}\right\}\)
where \(Q\) is the set of all rational numbers. Then

116832 Let \(R\) be the relation on the set \(R\) of all real number defined by \(a R b\) if \(|a-b| \leq 1\), then \(R\) is

116833 Let \(R=\{(1,3)(4,2),(2,4),(2,3),(3,1)\}\) be a relation on the set \(A=\{1,2,3,4\}\). The relation \(R\) is

116834 On the set \(R\) of real numbers we define \(x P y\) if and only if \(x y \geq 0\). Then, the relation \(P\) is

116835 Let \(R_1\) and \(R_2\) be two relations defined as follows
\(\mathbf{R}_1=\left\{(\mathbf{a}, \mathbf{b}) \in \mathbf{R}^2: \mathbf{a}^2+\mathbf{b}^2 \in \mathbf{Q}\right\}\)
\(\mathbf{R}_2=\left\{(\mathbf{a}, \mathbf{b}) \in \mathbf{R}^2: \mathbf{a}^2+\mathbf{b}^2 \notin \mathbf{Q}\right\}\)
where \(Q\) is the set of all rational numbers. Then