7 Problem #9: The English mathematician Augustus DeMorgan (1806-1871) showed that a) (AnB) ' = A'UB' and (b) (AUB) ' = A'nB' These identities are now called DeMorgan's Laws. Use a sequence of Venn Diagrams to shade the regions corresponding to (A n B) ' and A' U B' The final shaded regions obtained should be identical, justifying DeMorgan's first law. Do the same with the second law