01 Logic and Quantifiers Online Quiz Questions

Suppose $p$ is true and $q$ is false. What is the truth value of the conditional $p\to q$?

Which condition makes the disjunction $p\lor q$ true in standard mathematical logic?

Which expression is the correct negation of $\forall x\in\mathbb R\;(x\ge 4)$?

True or false: The sentence $x+2=5$ is a proposition before any value is assigned to $x$.

True or false: The biconditional $p\leftrightarrow q$ is false whenever both $p$ and $q$ are false.

What is the standard term for a proposition that is false for every possible assignment of its variables?

How many rows are required in a complete truth table for two distinct propositions, $p$ and $q$?

Using the relation $R(x,y)$, write a formula expressing that a particular object $x$ is related to at least one object $y$.

Which expression is logically equivalent to $p\to q$?

Which statements correctly compare $\forall x\exists y\;R(x,y)$ with $\exists y\forall x\;R(x,y)$? Select all correct choices.

Which sentence is a proposition?

Let $p$ be false and $q$ be true. What is the truth value of $p\to q$?

True or false: The disjunction $p\lor q$ is false whenever exactly one of $p$ and $q$ is true.

What is the logical term for a proposition that is true for every possible assignment of its variables?

Which expression is logically equivalent to $\neg(p\lor\neg q)$?

Write the negation of the inequality $x\ge 3$.

How many rows must a complete truth table have if the compound proposition contains three distinct propositions?

Select all expressions that are logically equivalent to $p\land(q\lor r)$. Choose every correct option.