Answer to Question #178169 in Discrete Mathematics for Elaine

Question

I. Determine if each statement is a proposition. If so, also determine its truth value.

1. Read and follow instructions.
2. Ok I answered the assignment.
3. 2+3=5
4. Let x be 5, x+y=10.
5. DLSU-CCS is in Quezon City.

Answer 1

Solution:

We define a proposition (sometimes called a statement, or an assertion) to be a sentence that is either true or false, but not both.

1. Read and follow instructions.

It is not a proposition as it is neither true nor false.

2. Ok I answered the assignment.

It is not a proposition as it is neither true nor false.

3. 2+3=5

It is a proposition as it is false. Its truth value is 'False'.

4. Let x be 5, x+y=10.

It is not a proposition as it is neither true nor false.

5. DLSU-CCS is in Quezon City

It is a proposition as it is false. Its truth value is 'False'.