10. Let A, B and C be nonempty sets: (a) Give an example of A, B and C, where CC AUB, An BC and IAUBI 3. (b) Prove that if AC C and B C C then AUBCC. (c) Prove that Ac Bif and only if A E P(B). (d) Disprove the statment: if (A B)n (A C), then BnC 11. Determine if the map g QQ defined by 9is one-to-one. r2+1