Question

Find the symmetric difference between the following sets. (iii) X = {5, 6, 7} and Y={5, 7, 9, 10).​

Answer 1

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Answer 2

X = {5, 6, 7} ==> X \ Y = {6}

(where X \ Y denotes the complement of X with respect to Y, i.e. elements belonging to X and not belonging to Y. Y contains both 5 and 7, so we remove these from X.)

Y = {5, 7, 9, 10} ==> Y \ X = {9, 10}

Then the symmetric difference is the union of these relative complements:

X ∆ Y = (X \ Y) U (Y \ X) = {6} U {9, 10} = {6, 9, 10}