Use Euler Diagrams to determine whether the following arguments are valid or invalid.  1. Some students like math. Jillian is a student. Jillian likes math. 2. Some dogs bite. All animals that bite are dangerous. Some dogs are dangerous. 3. All actors are artist. Joshua Garcia is an actor. Therefore, Joshua Garcia is an artist. 4. No math test is fun. All fun things are worth your time. No math test is worth your time.  5. All chemists are scientist. All scientist attended college. Therefore, all chemists attended college

Use Euler Diagrams to determine whether the following arguments are valid or invalid. 

1. Some students like math. Jillian is a student. Jillian likes math.
2. Some dogs bite. All animals that bite are dangerous. Some dogs are dangerous.
3. All actors are artist. Joshua Garcia is an actor. Therefore, Joshua Garcia is an artist.
4. No math test is fun. All fun things are worth your time. No math test is worth your time. 
5. All chemists are scientist. All scientist attended college. Therefore, all chemists attended college.