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Grade: 12

                        

Find the component statements for the following given statements and check whether it is true or false: All prime numbers are either even or odd

Find the component statements for the following given statements and check whether it is true or false:

  All prime numbers are either even or odd

4 months ago

Answers : (1)

Anand Kumar Pandey
askIITians Faculty
4240 Points
							Dear Student

The component statements are:

P: All the prime numbers are odd numbers

Q: All the prime numbers are even numbers

In this statement, the connecting word is“or”

We know that all the prime numbers are not odd numbers

So, the statement P is false.

Also, it is known that all the prime numbers are not even numbers.

Hence, the statement “Q” is also false.

Therefore, both the component statements are not true.

Thanks
4 months ago
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