Practice Logical Equivalence (8.6) - Mathematical Reasoning - ICSE 11 Maths
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Logical Equivalence

Practice - Logical Equivalence

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define logical equivalence in your own words.

💡 Hint: Think about when two statements can be true or false at the same time.

Question 2 Easy

Provide an example of two logically equivalent statements.

💡 Hint: Consider commutative properties.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does it mean for two statements to be logically equivalent?

They always have opposite truth values
They have the same truth value in every possible scenario
They are always true

💡 Hint: Think about the definition you learned.

Question 2

True or False: A statement and its negation are logically equivalent.

True
False

💡 Hint: Recall how negation works.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Establish whether 'A implies B' is logically equivalent to 'not B implies not A'. Use both a truth table and a theoretical explanation.

💡 Hint: Construct a truth table for clarity.

Challenge 2 Hard

Consider the statements 'not (P or Q)' and 'not P and not Q'. Show their logical equivalence via De Morgan's Laws.

💡 Hint: Review De Morgan's Laws for this.

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Reference links

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