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Mathematics, 12.08.2020 04:01 sha712

Consider the inequality cos(2x)<0; period [0,5π4). Milan wants to find the solution set for the inequality. She begins by finding the zeros for cos(2x):x=π4, x=3π4 , and x=5π4. Then, she studies the intervals (0,π4), (π4,3π4), and (3π4,5π4), and determines where cos(2x)<0 or cos(2x)>0 by picking a value for x from each interval. She finds the following. cos(2x)>0 from 0 to π4 cos(2x)<0 from π4 to 3π4 cos(2x)>0 from 3π4 to 5π4 Finally, Milan concludes that cos(2x)<0 on the interval [π4,3π4]. Part A: Which answer choice shows the correct analysis of Milan’s work? Part B: What is the domain of the inequality? Part C: What is the solution set for the inequality?

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