SOLUTION: Write a simple sentence and then write the negation. Imagine situations where each statement is true or false. How does the truth value (true or false) of the negation statement co

Question 198345This question is from textbook
: Write a simple sentence and then write the negation. Imagine situations where each statement is true or false. How does the truth value (true or false) of the negation statement compare with the truth value of the original statement?

I do not know how to do this I turned 2 in for my teacher but he said I am not doing it right.. Can someone please help?? This question is from textbook

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Here's a simple statement: "I went to the movies". The reason it is a simple statement is that it is either true or false (but not both) and there's no confusion involved (ie I either went to the movies, or I'm lying)

Now negate it by simply sticking a "it is not the case that" in front to get

"It is not the case that I went to the movies". Normally, we don't talk like this, so we might say "I did NOT go to the movies", but the first way is usually how logic text books handle negations.

-------------------------------

So let's say that I didn't go to the movies. So the original simple statement "I went to the movies" is false. This would mean that the negated statement "I did NOT go to the movies" is true.

On the other hand, if I did in fact go, then the simple statement "I went to the movies" is true while the negation "I did NOT go to the movies" is false (think of it as not not going, or a double negation).
RELATED QUESTIONS
Write two simple sentences and then write the compound statement you get from connecting... (answered by stanbon)

Given the following conditional statement, write the converse, the inverse, and the... (answered by solver91311)

Tell whether each statment is true or false. Then write the converse and tell whether it... (answered by engchunh)

determine if the statement is true or false. If false, give counter example. If a is... (answered by ikleyn)

Write down the converse of the following statement. If n is a multiple of 3 then n is... (answered by richard1234)

Write the contrapositive of the statement. Then use the contrapositive to determine... (answered by richard1234)

Decide if the statement is true or false, form the converse, and decide if the converse... (answered by RAY100)

If a is a solution of x < 5, then a is also a solution of x is less than 5 AND x is... (answered by ikleyn)

A hint when using the Fundamental Counting Principle is to write out all the separate... (answered by greenestamps)