Question

Find the symmetric difference between the R = {l, m, n, o, p} and S = {j, l, n, q}

Answer 1

Hi ,

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Symmetric Difference :

If A and B are two sets then

symmetric Difference of A and B

is denoted by A∆B.

A∆B = ( A - B ) U ( B - A )
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Here ,

It is given that ,

R = { l,m,n,o,p } and S = { j, l,n,q }

i ) R - S = { l,m,n,o,p} - {j,l,n,q}

= { m , o , p }

ii ) S - R = { j,l,n,q } - { l,m,n,o,p }

= { j , q }
_________________________

Now ,

Symmetric Difference of R and S

R ∆ S = ( R - S ) U ( S - R )

= { m , o , p } U { j , q }

= { m, o , p , j , q }

I hope this helps you.

: )

Answer 2

Hello,

Solution:

R= {l,m,n,o,p}

S={j,l,n,q}

✳️ Symmetric difference: (R-S) ∆ (S-R)

1). R-S = {m,o,p}

2) S-R = {j,q}

✳️ Symmetric difference: (R-S) ∆ (S-R)

= (R-S) U (S-R)

= {m,o,p} U {j,q}

= {m,o,p,j,q}

Hope it helps you.

Thanks for asking such a nice question dear.