Practice Compound Propositions (1.4.3) - Introduction to Mathematical Logic
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Compound Propositions

Practice - Compound Propositions

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is a proposition?

💡 Hint: Think about statements that declare something.

Question 2 Easy

What does the negation of a true proposition yield?

💡 Hint: Negation flips the truth value.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

A proposition must be what?

Always true
Always false
Either true or false

💡 Hint: Recall the definition of a proposition you learned.

Question 2

If p is true, then ¬p is?

True
False

💡 Hint: Think about the concept of negation.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given p: 'It is raining' and q: 'I will carry an umbrella', express the statement 'I will carry an umbrella only if it is raining' using a logical implication. Evaluate its truth when it is not raining.

💡 Hint: Consider how the logical implication defines when the situation is false.

Challenge 2 Hard

Construct a truth table for the propositions p and q to show all outcomes of p | p ˄ q, q | p ⋁ q. Analyze which combinations yield true results.

💡 Hint: Remember to fill out all combinations for true and false values.

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