Given the sets ((An D) U (BNC)) and (((An D) UB) nC): Determine which one is a subset of the other. Prove that subset property by universal generalization. Prove by counter-example that they are not equal sets.

Samuel scored a 72, 92 and 80 on his first three exams. What is the minimum score he needs to get on his next exam to get an average of 85 ?

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Instruction: The given problem below has been solved for you. Your job is to check the answers for errors. If there are errors, do the following in the given table. a. Review each step of the problem. b. Determined whether the given step is correct or if there is an error. c. If a particular step has an error, explain it and make necessary correction. d. Explain the correction. Tata is working as a city Engineer. The city mayor asks him to propose an irregular shape playground design. Aside from this, the mayor wanted the playground to be covered with frog grass.  How much budget the Mayor should allocate to cover the entire park with frog grass? OTHER STEPS INCLUDEDSTEP 3:Region 1: Solve the shaded region between f(x)=-x^2/100+200 and g(x)=0bounded from x=0 to x=200.Region 2: Solve the shaded region between f(x)=-x^2/100+200 and g(x)=0bounded from x=0 to x=100.Region 3: Solve the shaded region between h(x)=x and g(x)=0 bounded from x=0 to x=141.24. Step 8: Solve for the allocated…