Let $A = \{ 3,5,7 \}$ and $B = \{ 15,16,17,18 \}$, and define a relation $R$ from $A$ to $B$ as follows: For all $( x , y ) \in A \times B$,
$( x , y ) \in R \quad \Leftrightarrow \quad \frac { y } { x }$ is an integer.
(a) Is $3 R 15$ ? Is $3 R 16 ? \quad$ Is $( 7,17 ) \in R$ ? Is $( 3,18 ) \in R$ ?
(b) Write $R$ as a set of ordered pairs.
(c) Write the domain and co-domain of $R$.
(d) Draw an arrow diagram for $R$.
(e) Is $R$ a function from $A$ to $B$ ? Explain.

Question

Let $A = \{ 3,5,7 \}$ and $B = \{ 15,16,17,18 \}$, and define a relation $R$ from $A$ to $B$ as follows: For all $( x , y ) \in A \times B$, 
$( x , y ) \in R \quad \Leftrightarrow \quad  \frac { y } { x }$  is an integer.
(a) Is $3 R 15$ ? Is $3 R 16 ? \quad$ Is $( 7,17 ) \in R$ ? Is $( 3,18 ) \in R$ ?
(b) Write $R$ as a set of ordered pairs.
(c) Write the domain and co-domain of $R$.
(d) Draw an arrow diagram for $R$.
(e) Is $R$ a function from $A$ to $B$ ? Explain.

Quizplus · Accepted Answer

The Answer of Let $A = \{ 3,5,7 \}$ and $B = \{ 15,16,17,18 \}$, and define a relation $R$ from $A$ to $B$ as follows: For all $( x , y ) \in A \times B$, 
$( x , y ) \in R \quad \Leftrightarrow \quad  \frac { y } { x }$  is an integer.
(a) Is $3 R 15$ ? Is $3 R 16 ? \quad$ Is $( 7,17 ) \in R$ ? Is $( 3,18 ) \in R$ ?
(b) Write $R$ as a set of ordered pairs.
(c) Write the domain and co-domain of $R$.
(d) Draw an arrow diagram for $R$.
(e) Is $R$ a function from $A$ to $B$ ? Explain.

Let A={3,5,7}A = \{ 3,5,7 \}A={3,5,7} And B={15,16,17,18}B = \{ 15,16,17,18 \}B={15,16,17,18}

Let $A = \{ 3,5,7 \}$ And $B = \{ 15,16,17,18 \}$