Determine the validity of the following argument: For students to do well in a discrete mathematics course, it is necessary that they study hard. Students who do well in courses do not skip classes. Students who study hard do well in courses. Therefore students who do well in a discrete mathematics course do not skip class.

Answer: True

Step-by-step explanation:

Let p= Students who do well in course do not skip class

q= Student who study hard do well in course

So p^q= Student who study hard and who do well in course do not skip class.

If p= true and q=true then p^q= true by discrete maths.

The argument is valid because the conclusion is logically derived from the provided premises. However, it is important to note that the validity of an argument does not guarantee the truth of its premises. The argument may be valid, but its premises could still be false.

The argument provided is valid.

The reasoning follows a valid logicalstructure, specifically a form of argument called a syllogism, where conclusions are drawn from two or more premises. Let's break it down:

"For students to do well in a discrete mathematics course, it is necessary that they study hard." This is a premise, stating that studying hard is a necessary condition for success in a discrete mathematics course.

"Students who do well in courses do not skip classes." This is another premise, suggesting that students who perform well in their courses do not miss classes.

"Students who study hard do well in courses." This is also a premise, indicating that diligent study leads to success in courses.

The conclusion drawn is: "Therefore students who do well in a discrete mathematics course do not skip class." This conclusion logically follows from the given premises. If we accept the truth of the premises, we must also accept the truth of the conclusion.

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