If A = {1, 2, 3} and B = {1, 4, 6, 9},and R i | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) Given sets are $A = \{1, 2, 3\}$ and $B = \{1, 4, 6, 9\}$.The relation $R$ from $A$ to $B$ is defined as $R = \{(x, y) : x \in A, y \in B, x > y\}

Vedclass · Accepted Answer

$\{1\}$

Vedclass · Answer

(C) Given sets are $A = \{1, 2, 3\}$ and $B = \{1, 4, 6, 9\}$.The relation $R$ from $A$ to $B$ is defined as $R = \{(x, y) : x \in A, y \in B, x > y\}$.We check each element of $A$ against elements of $B$:For $x = 1$: No $y \in B$ satisfies $1 > y$.For $x = 2$: $2 > 1$ is true,so $(2, 1) \in R$.For $x = 3$: $3 > 1$ is true,so $(3, 1) \in R$.Thus,$R = \{(2, 1), (3, 1)\}$.The range of a relation is the set of all second components of the ordered pairs in $R$.Therefore,the range of $R = \{1\}$.

If $A = \{1, 2, 3\}$ and $B = \{1, 4, 6, 9\}$,and $R$ is a relation from $A$ to $B$ defined by '$x$ is greater than $y$'. The range of $R$ is

Similar Questions

Chemiosmotic theory of $ATP$ synthesis in mitochondrion is based on

Which one of the following halogens liberates oxygen,when passed through hot concentrated $KOH$ solution?

If $(2,3,-3)$ is one end of a diameter of the sphere $x^2+y^2+z^2-6x-12y-2z+20=0$, then the other end of the diameter is

Two dice are rolled simultaneously. The probability that the sum of the two numbers on the dice is a prime number is:

$A$ body cools from $62^{\circ}C$ to $50^{\circ}C$ in $10$ minutes and to $42^{\circ}C$ in the next $10$ minutes. The temperature of the surrounding is ........... $^{\circ}C$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module