Question

if a = {2,4,6,8,10} , b = {3,6,9,12,15} find a-b and b-A ? is A-b= b-A?​

Answer 1

To Find :

• A - B
• B - A
• A - B = B - A or not ?

Given :

• A = {2 ,4 ,6 ,8 ,10 }
• B = {3 ,6 ,9 ,12 ,15 }

Sᴏʟᴜᴛɪᴏɴ:

• A - B :-

⇛A = {2 ,4 ,6 ,8 ,10 }

⇛B = {3 ,6 ,9 ,12 ,15 }

⟹ A - B = {2 ,4, 8 , 10}

Now,

• B - A :-

⇛A = {2 ,4 ,6 ,8 ,10 }

⇛B = {3 ,6 ,9 ,12 ,15 }

⟹ B - A = {3 ,9 ,15}

• A - B = B - A or not ?

No , A - B is not equal to B - A

⟹ A - B ≠ B - A

⟹ {2 ,4, 8 , 10} ≠ {3 ,9 ,15}

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Answer 2

Answer:

Step-by-step explanation:

$A−B=2,4,8,10B-A={3,9,12,15}B−A=3,9,12,15$

Step-by-step explanation:

Given : if $A = { 2,4,6,8,10} and B= {3,6,9,12,15}$

To find : The set$A-B & B-A ?$

Solution :

We know that,

$A-B=A-(A\cap B)A−B=A−(A∩B)$ and

$B-A=B-(A\cap B)B−A=B−(A∩B)$

So, first we find intersection i.e. the common number in both A and B.

$A\cap B={2,4,6,8,10}\cap{3,6,9,12,15}A∩B=2,4,6,8,10∩3,6,9,12,15$

$A\cap B={6}A∩B=6$

Now,

$A-B={2,4,6,8,10}-{6}A−B=2,4,6,8,10−6$

$A-B={2,4,8,10}A−B=2,4,8,10$

$and B-A=B-(A\cap B)B−A=B−(A∩B)$

$B-A={3,6,9,12,15}-{6}B−A=3,6,9,12,15−6$

$B-A={3,9,12,15}B−A=3,9,12,15$

hope it helps

:)