Chapter 0 – Quiz 1

1. Find the statement that expresses the exact opposite of \exists n\in\mathbb N: n+1 < 0, i.e. find the negation \neg(\exists n\in\mathbb N: n+1 < 0).

 
 
 
 

2. Which of the following implications is true? (Single choice)

 
 
 
 

3. What does the following statement mean verbally: “\forall n\in\mathbb N: (\forall x\in\mathbb R: (x > 0 \lor n > x))“? (Hint: the statement is meaningful and true.)

 
 
 
 

4. Which of the following statements are true? (Multiple choice)

 
 
 
 
 
 

5. Which statement expresses the follwing: “for all natural numbers n, there exists a natural number m which is strictly greater than n.”?

 
 
 
 

Question 1 of 5

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