Chapter 2.1A, Problem 18A

For each of the following, form a conclusion that follows logically from the given statements.

a. Some students in Beta Club are in Integrated Mathematics $\text{I}$.

All students who are in Integrated Mathematics $\text{I}$ make $\text{A's}$.

b. If I study for the final, then I will pass the final.

If I pass the final, then I will pass the course.

If I pass the course, then I will look for a teaching job.

c. Every equilateral triangle is isosceles. There exist triangles that are equilateral