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On this assignment, you have to make a choice between the problems fromset A and set B. If you turn in answers to problems from both sets, you will onlybe graded on your answers to set A. Your score on set A is capped at 90%. Onthe questions from set B, you can earn up to 105%.Indicate which set youare solving by writing ”Set A” or ”Set B” on the first line of yourfirst page.Graders will be instructed to grade Set B solutions more strictly,with higher expectations for formal and logical correctness.Graders may only grade a subset of problems from each set.Set A:1. Is ”Johann Sebastian Bach is the greatest of all the Baroque composers”a proposition? Explain.2. Write the negation of ”Hikaru is taller than Yutaka”. Your (verbally given)negation must not contain any words or phrases that explicitly expressnegation, such as ”not”, ”it is untrue that”, ”is false”, ”is incorrect”, etc.3. Write the fully simplified negation of 3< x≤4.4. Is the conditional statement ”If a human being has 7 heads, then theyhave 11 arms” true or false? Explain.5. Rephrase in standard ”if.. then” form: ”We are buying a new TV only ifthe old TV breaks down.”c 2018 R. Boerner, ASU School of Mathematical and Statistical Sciences