Question

which of the following statement is the negation of the statement "4 is odd or -9 is positive"?​

Answer 1

Step-by-step explanation:

Using De Morgan's Law ~(A V B) ↔ ~A ∧ ~B.

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Answer 2

Concept:

The opposite of the mathematical statement is the negation of a statement. If "P" is a statement, then "~P" is the statement's negation.

De morgan Law or negation states that ~(A V B) ↔ ~A ∧ ~B

Given:

We have given a statement "4 is odd or -9 is positive".

Find:

We have to do the negation of the statement "4 is odd or -9 is positive".

Solution

Let P be the statement "4 is odd or -9 is positive".

P = "4 is odd or -9 is positive"

~P = ~( "4 is odd or -9 is positive" )

~P = ~( 4 is odd ) and ~( -9 is positive )

~P = ( 4 is even ) and ( -9 is negative )

~P =  "4 is even and -9 is negative"

Hence negation of the statement "4 is odd or -9 is positive" will be "4 is even and -9 is negative"

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