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- Label each of the following statements as either true or false. 2. for all nonempty sets A and B.Label each of the following statements as either true or false. 1. , for every nonempty set A.Label each of the following statements as either true or false. Let f:AB. Then f(A)=B for all nonempty sets A and 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.[Type here] 7. Let be the set of all ordered pairs of integers and . Equality, addition, and multiplication are defined as follows: if and only if and in , Given that is a ring, determine whether is commutative and whether has a unity. Justify your decisions. [Type here]