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Mathematical Statement

If A = x : x ...

Question

If A = {x: x is a multiple of 3} and B = {x: x is a multiple of 5}, then A - B is

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Solution

Given :
A={x:x is multiple of 3}
B={x:x is multiple of 5}
Therefore,
A={3,6,9,12,15,.....}
B={5,10,15,20,25....}
B' = {3,6,9,12,18, .......}
A∩B' = {3,6,9,12,18, ........}
Now A−B signifies all those elements of A that are not included in B.
A − B = {3,6,9,12,18, ........}
now,
A−B= A∩B'

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