Determine the validity of the following argument For student

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.

USE THE PROVE BY PROPOSITIONS.

Solution

assume

A :students do well in a discrete mathematics course

B: Student study

C: student skip classes

D: student do well in courses

We are given

statement-1:

For students to do well in a discrete mathematics course, it is necessary that they study

A <----> B

Statement-2:

Students who do well in courses do not skip classes

D--->-C

Statement-3:

Students who study hard do well in courses

B--->D

We have to validate

\"students who do well in a
discrete mathematics course do not skip class\"

A--->-C

We are given that

A <----> B

D--->-C

B--->D

We can write

A<---->B as A--->B and B---->A

we know that

B--->D

D--->-C

so, we get

B--->-C

now, we know that

A<---->B

so, we will get

A---->-C ..............Answer