Question

Which of following is negation
of statement" 5 id odd and 9 is
perfect square"
O 5 is odd and 9 is not perfect square
O 5 is even and 9 is not perfect square
5 is odd or 9 is not perfect square
O 5 is even or 9 is not perfect square​

Answer 1

Step-by-step explanation:

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Answer 2

The negation of the statement "5 is odd and 9 is perfect square" is "5 is even or 9 is not perfect square"

Given :

The statement "5 is odd and 9 is perfect square"

To find :

The negation of the statement "5 is odd and 9 is perfect square" is

• 5 is odd and 9 is not perfect square

• 5 is even and 9 is not perfect square

• 5 is odd or 9 is not perfect square

• 5 is even or 9 is not perfect square

Solution :

Step 1 of 2 :

Write down the given statement

Here the given statement is "5 is odd and 9 is perfect square"

Let us consider ,

p : 5 id odd

q : 9 is perfect square

Then given statement becomes p ∧ q

Step 2 of 2 :

Find negation of the statement

¬ p : 5 id even

¬ q : 9 is not perfect square

The negation of the given statement

= ¬ (p ∧ q)

= ¬ p ∨ ¬ q

This will be read as "5 is even or 9 is not perfect square"

Therefore negation of the statement "5 is odd and 9 is perfect square" is "5 is even or 9 is not perfect square"

Hence the correct option is "5 is even or 9 is not perfect square"

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