Test 1 Review

1. What is true concerning the validity of the argument below? (hint: Use a Venn diagram.)

1.	All pesticides are harmful to the environment.
2.	No fertilizer is a pesticide.
	Therefore, no fertilizer is harmful to the environment.

2. What is true concerning the validity of the argument below? (hint: Use a Venn diagram.)

1.	All roads lead to Rome.
2.	Route 66 is a road.
	Therefore, Route 66 leads to Rome.

3. What number is most likely to come next in the following sequence?

2, 3, 5, 7, 11, _______

4. Use the statements

p: it is a square
q: it is a rectangle

how would you represent the sentence "All squares are rectangles" in symbolic form?

5. Write the negation of the statement "Some computers are priced under $100."

6. Under what conditions is the statement

true?

7. Determine if the following is true:

.

8. Determine if the following is true:

.

9. Rewrite the following sentence in "if . . ., then . . ." form: "I take public transportation only if it is raining."

10. Determine if the following are logically equivalent:

and

.

11. Under what conditions will

have a truth value of false?

12. Write the converse, inverse, and contrapositive of the following statement and indicate which statements are equivalent:

I walk to work if it is not raining.

13. What is true concerning the validity of the argument below? (hint: Use a Venn diagram.)

1.	All police officers ride motorcycles.
2.	Some women are police officers.
	Therefore, some women ride motorcycles.

14. What is true concerning the validity of the argument below? (hint: Use a Venn diagram.)

1.	All police officers ride motorcycles.
2.	Some women ride motorcycles.
	Therefore, some women are police officers.