Let A = {1, 2, 3, 4} and B = {1, 4, 9, 16, 25} and R be a relation defined from A to B as

R = {(x,y): x $ϵ$ A, y $ϵ$ B and y =$x^2$}

(i) Depict this relation using arrow diagram.

(ii) Find domain of R.

(iii) Find range of R.

(iv) Write codomain of R.

(v) Does the truthfulness and honesty may have any relation?

Q.

Let A = {1, 2, 3, 4, 5, 6}. Define a relation on set A by R = {(X, Y): y = x +1}

(i) Depict this relation using an arrow diagram.

(ii) Write down the domain, codomain and range of R.

Q. Let $A=\{1,2,3,4,5,6\}.$ Define a relation $R$ from $A$ to $A$ by $R=\left\{\right(x,y):y=x+1\}$

$\left(i\right)$ Depict this relation using an arrow diagram
$\left(ii\right)$ Write down the domain, codomain, and range of $R$.

Q. Let $A=\{1,3,5,7\}$ and $B=\{2,4,6,8\}$ be two sets $R$ be a relation from $A$ to $B$ defined by the phrase $“(x,y)\in R\Rightarrow x>y".$ Find relation $R$ and its domain and range.

Q. Let, $Z$ be the set of all integers and $R$ be a relation on $Z$ defined as, $R=\left\{\right(x,y):x^2+y^2=100,x,y\in Z\}$ Find domain, range and codomain of relation $R.$

Q.

Let A = {1, 2, 3,.....,14}. Define a relation on a set A by

R = {(x, y) : 3x - y = 0, where $x,yϵA$}.

Depict this relationship using an arrow diagram. Write down its domain, co-domain and range.