Question

if A={2,4,6,8,10} and B={3,6,9,12,15}, find A-B and B-A

Answer 1

Answer:

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=A-(A\cap B)A−B=A−(A∩B)

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

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