When is \(P \lor Q\) true? - "Mathematical Statements" Review Assignment - Use this assignment in your class! - OpenClass

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"Mathematical Statements" Review Assignment

What is the difference between an atomic statement and a molecular statement?

Indicate whether or not each of the following sentences are statements:

1- The house is red.
2- Who let the dogs out?
3- Go to your room!
4- The game is on at 5 and I want to watch it.

What's are logical connectives? What are the different types of logical connectives?

$\to$ is the symbol for which logical connective?

Translate the following statement into plain English: $P \land Q \to \neg P \land \neg Q$

When is $P \lor Q$ true?

When is $P \leftrightarrow Q$ true?

In an implication $P \to Q$ , what is the hypothesis and what is the conclusion?

Convert the Pythagorean Theorem, $a^{2} + b^{2} = c^{2}$ , into an implication.

What's the converse of an implication $P \to Q$ ? What's the contrapositive of an implication $P \to Q$ ?

True or False: The converse of the implication "if a number greater than 2 is prime, then it is odd" is true.

Rephrase the implication, "if I dream, then I am asleep" in as many different ways as possible. Then do the same for the converse.

Let $P (x)$ be the predicate, " $3 x + 1$ is even." Is $P (5)$ true or false?

What is a sentence called that contains variables?

What types of quantifiers exist in mathematics?

How can you prove $\forall x P (x)$ is false?

Convert the following sentence into symbols: If a shape is a square, then it is also rectangle.

When is $P \lor Q$ true?

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Alec KretchJUL 25, 2021, 9:32:05 PM

$P \lor Q$ is true when P is true, Q is true, or both are true. This symbol refers to the "inclusive or", that does not require one of the statements to be true and one of P or Q to evaluate as true and the other to evaluate as false for the entire statement to evaluate as true.

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Discrete Mathematics (page 22)

Levin, O. (2018-12-31). Discrete Mathematics: An Open Introduction. . (Jan 26, 2024)

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What does $P \lor Q$ evaluate as if both P and Q are true.

Select one of the following options:

A.
$P \lor Q$ evaluates as false in this case.
B.
$P \lor Q$ evaluates as true in this case.

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