Question

) Given the conditional statement, "If an integer is a counting number, then it is 0," which of the following can be concluded?

The statement is false because the hypothesis is false.
The statement is false because the conclusion is false.
The statement is false because both the hypothesis and the conclusion are false. The statement is true.

Answer 1

The statement is false because the conclusion is false.

Explanation:

"then it is 0" is the conclusion. This is false because not all integers are 0.

Answer 2

Hello! I would love to help!


First let's identify the hypothesis and conclusion.

Hypothesis usually starts with "if" so the hypothesis of this statement is: An integer is a counting number.

The conclusion usually can be found by "then". So, the conclusion here is: It is zero.

So, let's evaluate the truth of these statements.

First, the hypothesis. An integer is a counting number. Yes, this is true because integers are counting numbers.


Now, the conclusion:
It is zero.
This is false because there are other integers as counting numbers that aren't zero: 2,3,4,5 for example.

So, therefore, the second answer is the correct one.

Hope this helped! Comment if you have questions!