1. Logic, Sets, and Proof

Statements, Quantifiers, Negation — Quiz

Test your understanding of statements, quantifiers, negation with 5 practice questions.

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Practice Questions

Question 1

Which of the following is a statement?

Question 2

What is the negation of $\forall x\in\mathbb R,\ x^2\ge 1$?

Question 3

What is the negation of $\exists n\in\mathbb Z$ such that $n^2=2$?

Question 4

Which symbolic statement means "Every real number has a larger real number"?

Question 5

What is the truth value of $\exists x\in\mathbb R$ such that $x^2<0$?