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JEE Main
Exam
JEE Main
Subject
Mathematics
Chapter
Sets and Relations

JEE Main · Mathematics · Sets and Relations

Given A=\ 1,2,3,4,5\ , B=\ 1,4,5\ . If R is a relation from A to B...

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

Options

  1. A{1,4}
  2. B{4,5}
  3. C{1,4,5}
  4. D{2,4}

Correct answer

A. {1,4}

Step-by-step solution

A={1,2,3,4,5};B={1,4,5}R:A→B(x>y)A=\{1,2,3,4,5\} ; B=\{1,4,5\}R: \quad A \rightarrow B(x>y) Domain \left(2345\begin{array}{l}2 \\ 3 \\ 4 \\ 5\end{array}\right)Range \left(14\begin{array}{l}1 \\ 4\end{array}\right) Range R={1,4}R=\{1,4\}
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