Unit 1 Test Warm up

What is the converse of the statement:

"If I studied, then I will pass the test"

• If I pass the test, then I studied

• If I didn't study, then I won't pass the test

• If I don't pass the test, then I didn't study

• I study therefore I pass

What is the contrapositive of the statement:

"If it is Friday, then we have a test"

• If we don't have a test, then it is not Friday.

• If it is not Friday, then we don't have a test.

• If we have a test, then it is Friday

• It is Friday, therefore we have a test.

What is the symbolic form of the statement below.

p: It is a great day.

q: It is Friday.

r: I am happy.

It is a great day and I am happy.

• p ∧ r
• p → r
• p ∨ r
• ¬p ∧ q

What is the symbolic form of the statement below.

p: It is a great day.

q: It is Friday.

r: I am happy.

I am not happy or it is not Friday

• ¬r ∨ ¬q
• p ∨ q
• ¬q ∧ r
• ¬p ∧ ¬r

Determine which Law of logic is shown by the statements below.

1) If you study, then you will pass.

2) Joe did not pass

3) Joe did not study

• Law of Detachment

• Law of Contrapositive

• Law of Syllogism

• None

Determine which Law of logic is shown by the statements below.

1) If you study, then you will pass.

2) If you pass, then your parents will be happy

3) If you study, then your parents will be happy

• Law of Detachment

• Law of Contrapositive

• Law of Syllogism

• None

How many people are in Group A and C?

• 7

• 5

• 2

• 24

How many people are only in group A or group B?

• 15

• 25

• 2

• 3