Question:

If $X = {x_1, x_2, x_3}$ and $Y = {x_1, x_2, x_3, x_4, x_5}$ then find which is a reflexive relation of the following ?

Updated On: Jul 6, 2022
  • $R_1 : {(x_1, x_1), (x_2, x_2)}$
  • $R_1 : {(x_1, x_1), (x_2, x_2), (x_3, x_3)}$
  • $R_3 : {(x_1, x_1), (x_2, x_2), (x_1, x_3),(x_2, x_4)}$
  • $R_3 : {(x_1, x_1), (x_2, x_2),(x_3, x_3),(x_4, x_4)}$
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The Correct Option is B

Solution and Explanation

(a) Non-reflexive because $\left(x_{3}, x_{3}\right)\notin R_{1}$ (b) Reflexive (c) Non-Reflexive (d) Non-reflexive because $x_{4}\notin X$
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