9. Represnt X, Y,and U in VENN DIAGRAM
X = (1,5,7} Y = (9,3,11) U = {1,2,3,5,7,9,11,15)
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The difference of two subsets A and B is a subset of U, denoted by A – B and is defined by
A – B = {x : x ∈ A and x ∉ B}.
Let A and B be two sets. The difference of A and B, written as A - B, is the set of all those elements of A which do not belongs to B.
Thus A – B = {x : x ∈ A and x ∉ B} or A – B = {x ∈ A : x ∉ B}.
Clearly, x ∈ A – B
⇒ x ∈ A and x ∉ B
In the adjoining figure the shaded part represents A – B.
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