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(10) Consider the following property: For all sets A, B and C, (A-B)∩(A-C)=A-(B∪C) a. Construct a...

(10) Consider the following property: For all sets A, B and C, (A-B)∩(A-C)=A-(B∪C)

a. Construct a proof of this property using set definitions.

b. Prove this property using a set-membership table, clearly stating how the table proves the property.

c. Illustrate this property using Venn diagrams, clearly stating how the diagram proves the property. You must use a separate Venn diagram for the set on the left hand side of the equal sign, and for the set on the right hand side of the equal sign.

Math   Advanced-Math   
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