"10 is less than 100; 100 is less than 1,000; consequently, 10 is less than 1,000" is an example of a (Points : 1)
sound deductive argument.
valid inductive argument.
sound inductive argument.
weak inductive argument.
To determine the type of argument presented in the given statement, we need to understand the different types of arguments.
A sound deductive argument is one that is both valid and has true premises. This means that if the premises are true, then the conclusion must also be true.
A valid inductive argument is one where the conclusion is likely based on the premises, but it does not guarantee certainty. In other words, the conclusion is supported by the premises, but there is still a possibility of it being false.
A sound inductive argument is one that is both strong and has true premises. This means that if the premises are true, then the conclusion is likely to be true.
A weak inductive argument is one that is not strong, meaning that even if the premises are true, the conclusion is still not likely to be true.
Now, let's analyze the given statement: "10 is less than 100; 100 is less than 1,000; consequently, 10 is less than 1,000."
In this statement, the premises are true, and based on these premises, the conclusion must also be true. It follows a logical pattern, and there is no possibility for the conclusion to be false if the premises are true.
Therefore, the given statement is an example of a sound deductive argument.