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Which of the following is a proposition...

Which of the following is a proposition ?

A

5.6 is a decimal number

B

` sqrt4` is 2

C

Mathematics is not interesting

D

5 is an even integer

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the given statements is a proposition, we need to understand what a proposition is. A proposition is a declarative statement that can be classified as either true or false, but not both. Let's analyze the statements one by one: 1. **Statement: "5.6 is a decimal number."** - This statement is true because 5.6 is indeed a decimal number. Since it can be classified as true, it is a proposition. 2. **Statement: "Root 4 is 2."** - This statement is also true because the square root of 4 is indeed 2. Therefore, this is a proposition as well. 3. **Statement: "Mathematics is not interesting for some people."** - This statement cannot be classified strictly as true or false because it is subjective. Different people have different opinions about mathematics. Hence, this is not a proposition. 4. **Statement: "5 is an even integer."** - This statement is false because 5 is an odd integer. However, since it can be classified as false, it is still a proposition. 5. **Statement: "5 is not an even integer."** - This statement is true because 5 is indeed not an even integer. Therefore, this is also a proposition. In conclusion, the statements that qualify as propositions are: - "5.6 is a decimal number." - "Root 4 is 2." - "5 is not an even integer." **Final Answer:** The propositions are: 1. "5.6 is a decimal number." 2. "Root 4 is 2." 3. "5 is not an even integer."

To determine which of the given statements is a proposition, we need to understand what a proposition is. A proposition is a declarative statement that can be classified as either true or false, but not both. Let's analyze the statements one by one: 1. **Statement: "5.6 is a decimal number."** - This statement is true because 5.6 is indeed a decimal number. Since it can be classified as true, it is a proposition. 2. **Statement: "Root 4 is 2."** ...
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