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Consider the statement For all sets A and B, (A - B) n B = 0. Complete the proof begun below in which the given statement is derived algebraically from the properties on the attached sheet. Be sure to give a reason for every step that exactly justifies what was done in the step: Proof: Let A and B be any sets. i. (A - B)B = (A n Bc) B by the law ii. by the law iii. by the law iv. by the law v. by the law The number of lines in the outline shown above are just meant to be suggestive. To complete the proof you may need more or less. Use however many lines that you need Consider the following statement: Statement A: V integers m and n, if 2m +n is odd then m and n are both odd. Disprove Statement A. That is, show that Statement A is false Is 605.83 a rational number? Is 56.745 a rational number? Justify your answers