distributive property of union and intersection
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DISTRIBUTIVE PROPERTY
According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
For all sets A,B and C
A∩(B∪C)=(A∩B)∪(A∩C)
A∪(B∩C)=(A∪B)∩(A∪C).
UNION
The union of two sets contains all the elements contained in either set .
The union is noted as A∪B.
INTERSECTION
The intersection of two sets contains only the elements that are in both sets.
The intersection is noted as A∩B.
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