Given $\mathrm{A}=\{1,2,3,4,5\}, \mathrm{B}=\{1,4,5\} .$ If $\mathrm{R}$ is a relation from $\mathrm{A}$ to…

Given $\mathrm{A}=\{1,2,3,4,5\}, \mathrm{B}=\{1,4,5\} .$ If $\mathrm{R}$ is a relation from $\mathrm{A}$ to $\mathrm{B}$ such that $\quad(x, y)$ $\in \mathrm{R}$ with $x>y$, then range of $\mathrm{R}$ is
  1. {1,4}
  2. {4,5}
  3. {1,4,5}
  4. {2,4}

Solution

$A=\{1,2,3,4,5\} ; B=\{1,4,5\}$ $R: \quad A \rightarrow B(x>y)$ Domain $\left(\begin{array}{l}2 \\ 3 \\ 4 \\ 5\end{array}\right)$ Range $\left(\begin{array}{l}1 \\ 4\end{array}\right)$ Range $R=\{1,4\}$

Asked in: MHT CET 2020 (14 Oct Shift 2)

Practice more Sets and Relations questions on Aicharya