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- For the sets gives in Exercise 9, is there a distributive relationship for union with respect with respect in intersection? That is does ABC=ABAC? A=1,2,3,4, B=2,4,6,8, and C=1,3,5,7,9.Where possible, use the symbol to join the two sets. a V=Vowels; L=lettersinthealphabet b A=1,2,3,4; B=2,4,6,8Label each of the following statements as either true or false. 2. for all nonempty sets A and B.
- 7. For the given subsets and of Z, let and determine whether is onto and whether it is one-to-one. Justify all negative answers. a. b. c. d.Is the set named empty, finite, or infinite? a N=countingnumbers b V=vowels c P=pointsintheintersectionoftwodisjointsetsLabel each of the following statements as either true or false. Let f:AB. Then f(A)=B for all nonempty sets A and B.
- 6. For the given subsets and of Z, let and determine whether is onto and whether it is one-to-one. Justify all negative answers. a. b.For the sets given in Exercise 9, is there a distributive relationship for intersection with respect to union? That is, does ABC=ABAC? A=1,2,3,4, B=2,4,6,8, and C=1,3,5,7,9.Where possible, use the symbol to join the two sets. a P=allpagesinthisbook; T=page10ofthisbook b P=pointsonacircularpathP; E=pointsAandBthatlieonthecircularpathP