construct arguments draw a valid conclusion from the given statements, if possible. then state whether your…

construct arguments draw a valid conclusion from the given statements, if possible. then state whether your conclusion was drawn using the law of detachment or the law of syllogism. if no valid conclusion can be drawn, write no valid conclusion. justify your argument. 20. given: ballet dancers like classical music. if you like classical music, then you enjoy the opera. 21. given: if you are an athlete, then you enjoy sports. if you are competitive, then you enjoy sports.
Answer
20.
Brief Explanations:
The first statement says ballet - dancers like classical music and the second says if one likes classical music, one enjoys the opera. By the Law of Syllogism, we can chain the statements.
Answer:
Ballet dancers enjoy the opera. The conclusion was drawn using the Law of Syllogism.
21.
Brief Explanations:
The first statement has athletes and enjoying sports, the second has being competitive and enjoying sports. There is no way to chain these statements in a logical way to draw a single valid conclusion.
Answer:
no valid conclusion