Question

Determine which of the following is a proposition.

a. x > 3
b. 2 > 3
c. 2x 11 = 23

Answer 1

Only '2 > 3' is a proposition because it can be definitively identified as false, whereas statements involving variables without specific values cannot be classified as true or false propositions.

Step-by-step explanation:

A proposition is a statement that is either true or false but not both. Let's examine the options given:

• x > 3: This is not a proposition because it contains a variable x and without a specific value for x, we cannot determine its truth value.
• 2 > 3: This is a proposition. It is a statement that can be clearly identified as false.
• 2x 11 = 23: Assuming this is a typo for '2x + 11 = 23', this is not a proposition for the same reason as the first; it contains a variable x and without knowing the value of x, we cannot determine its truth value.

To summarize, of the given options, only '2 > 3' is a proposition because it has a definite truth value which is false.