91Ó°ÊÓ

Use Euler diagrams to determine whether each argument is valid or invalid. All comedians are funny people. Some comedians are professors. Therefore, some funny people are professors.

Let \(p\) and \(q\) represent the following simple statements: \(p\) : This is an alligator. \(q\) : This is a reptile. Write each compound statement in symbolic form. This is a reptile if it's an alligator.

Use Euler diagrams to determine whether each argument is valid or invalid. Some people enjoy reading. Some people enjoy TV. \(\overline{\text { Therefore, some people who enjoy reading enjoy TV. }}\)

Use Euler diagrams to determine whether each argument is valid or invalid. All thefts are immoral acts. \(\underline{\text { Some thefts are justifiable. }}\) Therefore, some immoral acts are justifiable.

Translate each argument into symbolic form. Then determine whether the argument is valid or invalid. You may use a truth table or, if applicable, compare the argument's symbolic form to a standard valid or invalid form. (You can ignore differences in past, present, and future tense.) If we close the door, then there is less noise. There is less noise. \(\therefore\) We closed the door.

Use De Morgan's laws to write a statement that is equivalent to the given statement. If you attend lecture and study, you succeed.

Use Euler diagrams to determine whether each argument is valid or invalid. No blank disks contain data. Some blank disks are formatted. Therefore, some formatted disks do not contain data.

Let \(p\) and \(q\) represent the following simple statements: \(p: Y o u\) are human. q: You have feathers. Write each compound statement in symbolic form. Not having feathers is necessary for being human.

Write the converse, inverse, and contrapositive of each statement. If all hard workers are successful, then some people are not hard workers.

Determine whether each argument is valid or invalid. All \(A\) are \(B\), all \(B\) are \(C\), and all \(C\) are \(D\). Thus, all \(A\) are \(D\).