Question

Which of the following will evaluate to true?

I. True AND False
II. False or True
III. False AND (True or False)

Answer 1

III. False And (True or False,)

Answer 2

I. False, II. True, III. False

Step-by-step explanation:

To evaluate the given statements, we need to understand the logical operators AND and OR.

1. I. True AND False: When using the AND operator, both statements must be true for the overall statement to be true. Since one statement is true and the other is false, the overall statement will evaluate to false.
2. II. False or True: When using the OR operator, only one of the statements needs to be true for the overall statement to be true. In this case, one statement is false and the other is true, so the overall statement will evaluate to true.
3. III. False AND (True or False): In this statement, we have the AND operator and the OR operator. The statement within the parentheses (True or False) will evaluate to true because one of the statements is true. However, when using the AND operator, both statements must be true for the overall statement to be true. Since one statement is false, the overall statement will evaluate to false.

Therefore, the correct evaluation of the given statements is:

1. I. False
2. II. True
3. III. False