Chapter 1.8, Problem 9CYU

To determine

Tofind: The valid conclusion for statement “if a number is a multiple of $10$ , the number is divisible by $5$ ” and give reason for non valid conclusion.

Answer to Problem 9CYU

The conclusion is no valid because $955$ is not a multiple of $10$ .

Explanation of Solution

Given information:

The given statement is “If a number is a multiple of $10$ , the number is divisible by $5$ ” and the number is $955$ .

Calculation:

The hypothesis is a number is number divisible by $5$

The conclusion is the number is multiple of $10$ ,

Consider the number $955$ .

  $955$ is divisible by $5$ but it is not a multiple of $10$ . So the conclusion

The conclusion is valid for the numbers like $10,20,30$ because multiple of $10$ is always divisible by $5$ but $955$ is not a multiple of $10$ . So, the conclusion is no valid.

Therefore, the conclusion is no valid because $955$ is not a multiple of $10$ .