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

question 7

Essay

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.

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Definitions:

Subconscious

The part of the mind that is not currently in focal awareness but influences thoughts and behaviors.

Defense Mechanism

Psychological strategies unconsciously used to protect oneself from anxiety and internal conflict.

Displacement

in psychological terms, is transferring feelings or actions from the original object of those emotions to another target.

Projection

Attributing one’s own thoughts, feelings, or motives to another person.