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**Question:**

Use the laws of set algebra to show that for the sets X,Y,Z:

a) X + X’Y + ZX’ = X + Y + Z

b) XY + X’Y’ + X’Y + XY’ = U

c) Z’(X + Y’)(X’ +Z) = (X + Y’ + Z)’

d) XYZ + X’ + Y’ + Z’ = U

**Answer:**

I can prove these using venn diagrams but what are the laws of set algebra?

also U means the union of X, Y and Z...no?