Prove that, for any sets A and B, it is true that A∪(A∩B) = A
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Prove that, for any sets A and B, it is true that A∪(A∩B) = A
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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. 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 given subsets A and B of Z, let f(x)=2x and determine whether f:AB is onto and whether it is one-to-one. Justify all negative answers. a. A=Z+,B=Z b. A=Z+,B=Z+E[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]