Question

Find the symmetric difference between the X = {5, 6, 7} and Y={5, 7, 9, 10}

Answer 1

Hi ,

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Symmetric Difference :

Let A and B are two sets.

Symmetric Difference of A and B

( A ∆ B ) = ( A - B ) U ( B - A )

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Here ,

X = { 5 , 6 , 7 } and Y = { 5,7 9,10 }

i ) X - Y = {5,6,7} - {5,7,9,10}= { 6 }

ii ) Y - X = { 5,7,9,10 } - {5,6,7} = {9,10}
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X ∆ Y = ( X - Y ) U ( Y - X )

= { 6 } U { 9 , 10 }

= { 6, 9 , 10 }

I hope this helps you.

: )

Answer 2

Hello,

➡️Solution:
➖➖➖➖

To find the symmetric difference between to sets,let A and B

First find the difference of two sets, A-B, B-A

Symmetric difference: Is union of A-B and B-A

A= {5,6,7}

B={5,7,9,10}

1) A-B =The elements of set A which do not present in Set B

A-B= {6}

2) B-A =The elements of set B which do not present in Set A

B-A= {9,10}

3) Symmetric difference: A-B U B-A

= {6} U {9,10}

= {6,9,10}

Hope it helps you.