Contradictory of a Claim - Chapter 6

According to the book, a contradictory claim is a claim that has an opposite type of "truth-value" or a negative/negation of a claim.

Examples of a claim:
John is eating
Thao will be going to the mall or she will go to the movies.
Mom will pick dad up from the airport, or he will take a taxi home.

Examples of contradictory of a claim:
John is not eating
Thao will not be going to the mall, and she will not be going to the movies.
Mom will not pick dad up from the airport, and he will not take a taxi home.

Basically a contradictory of a claim is the opposite of the original claim. It doesn’t matter of the original claim is a negative form or positive, it will turn to the opposite of it.

For example, if in my original claim, my first part of it is negative and my second part of the claim is positive; the contradictory of that claim is that my negative part of the claim will turn into a positive one, while my positive part of the claim will turn into a negative one.