Question

What form of deductive reasoning is used in the given argument? a number ends in , then it is divisible by 10. a number is divisible by 10, then it is divisible by 5 a number ends in , then it is divisible by law of detachment . law of syllogism law of contrapositive . Identification of counterexample

Answer 1

The form of deductive reasoning used in the given argument is; Law of Syllogism

How to identify the Logic Law used?

The argument we are given is;

If a number ends in 0, then it is divisible by 10.

If a number is divisible by 10, then it is divisible by 5.

If a number ends in 0, then it is divisible by 5.

The law used for the deductive reasoning in the given argument is called Law of Syllogism. This is because this law of mathematical logic states that;

If the following two statements are true:

(1) If p , then q .

(2) If q , then r .

Then we can derive a third true statement:

(3) If p , then r .

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