Let $A=\{1,2,3,4,5,6\} .$ Define a relation $R$ from $A$ to $A$ by $R=\{(x, y): y=x+1\}$
Depict this relation using an arrow diagram.
Let $A=\{1,2,3,4,5,6\} .$ Define a relation $R$ from $A$ to $A$ by $R=\{(x, y): y=x+1\}$
Depict this relation using an arrow diagram.
By the definition of the relation,
$R=\{(1,2),(2,3),(3,4),(4,5),(5,6)\}$
The corresponding arrow diagram is shown in Fig
Similar Questions
Let $R$ be a relation from $N$ to $N$ defined by $R =\left\{(a, b): a, b \in N \text { and } a=b^{2}\right\} .$ Are the following true?
$(a, a) \in R ,$ for all $a \in N$
Let $R$ be a relation from $N$ to $N$ defined by $R =\left\{(a, b): a, b \in N \text { and } a=b^{2}\right\} .$ Are the following true?
$(a, a) \in R ,$ for all $a \in N$
Let $A=\{1,2,3,4,5,6\} .$ Define a relation $R$ from $A$ to $A$ by $R=\{(x, y): y=x+1\}$
Write down the domain, codomain and range of $R .$
Let $A=\{1,2,3,4,5,6\} .$ Define a relation $R$ from $A$ to $A$ by $R=\{(x, y): y=x+1\}$
Write down the domain, codomain and range of $R .$
Let $R$ be a relation from $Q$ to $Q$ defined by $R=\{(a, b): a, b \in Q$ and $a-b \in Z \} .$ Show that
$(a, b) \in R$ implies that $(b, a) \in R$
Let $R$ be a relation from $Q$ to $Q$ defined by $R=\{(a, b): a, b \in Q$ and $a-b \in Z \} .$ Show that
$(a, b) \in R$ implies that $(b, a) \in R$
Write the relation $R = \{ \left( {x,{x^3}} \right):x$ is a prime number less than $10{\rm{\} }}$ in roster form.
Write the relation $R = \{ \left( {x,{x^3}} \right):x$ is a prime number less than $10{\rm{\} }}$ in roster form.
Let $A = \{1, 2, 3\}$. The total number of distinct relations that can be defined over $A$ is
Let $A = \{1, 2, 3\}$. The total number of distinct relations that can be defined over $A$ is