Truth Tables

Translate each statement from symbolic notation into English sentences. Let A represent “Elvis is alive” and let K represent “Elvis is the King”.

1. Not A

2. A or K

3. Not A and K

4. If K, then not A

Translate each statement from symbolic notation into English sentences. Let A represent “It rains in Oregon” and let B represent “I own an umbrella”.

1. Not B

2. A and not B

3. If A, then B

4. If not B, then A

Translate each statement from English sentences into symbolic notation. Let A represent “I will protest” and let B represent “There is injustice.”

1. There is injustice and I will protest.

2. If there is injustice, then I will protest.

3. I will protest if there is injustice.

4. If there is not injustice, then I will not protest.

Translate each statement from English sentences into symbolic notation. Let A represent “It's time to eat” and let B represent “I am hungry.”

1. It's time to eat and I'm not hungry.

2. It's not time to eat.

3. If it's time to eat, then I'm hungry.

4. If I'm not hungry then it's not time to eat.

Complete the truth table for each statement and write the meaning of each statement in the third column.

Let A be: I live in Oregon.

Let B be: I go to Portland Community College

Complete the truth table for each statement and write the meaning of each statement in the third column.

Let A be: I am a psychology major

Let B be: I'm planning to transfer to Portland State

Complete the truth table for each statement.

A and not B

Complete the truth table for each statement.

Not (not A or B)

Complete the truth table for each statement.

Not (A and B and C)

Complete the truth table for each statement.

Not A or (not B and C)

Create a complete truth table for each statement.

Not(A and B) or C

Create a complete truth table for each statement.

(A or B) and (A or C)

Create a complete truth table for each statement.

If (A and B), then C

Create a complete truth table for each statement.

If (A or B), then not C

Create a complete truth table for each statement.

If (A and C), then not A

Create a complete truth table for each statement.

If (B or C), then (A and B)