Q55 / 150 · MHT CET 2020 (14 Oct Shift 2) · Mathematics
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
- Correct answerA{1,4}
- B{4,5}
- C{1,4,5}
- D{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 $R=\{1,4\}$
Hence, the correct answer is option: 'A'.