Practice Standard Logical Equivalent Statements (2.3)

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6 sample questions

Question 1.
Define a tautology and provide an example.
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Think of statements that cannot be false.
Question 2.
What is a contradiction?
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Imagine statements that are logically impossible.
3Question 3.
What is a tautology?
- A statement that is always true
- A statement that is always false
- A statement that can be true or false
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Think of statements that cannot be false.
4Question 4.
True or False: A contradiction is a statement that can be true under certain conditions.
- True
- False
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Consider the logical impossibility of such statements.
Question 5.
Prove using logical identities that the expression '¬(p ∨ q) is equivalent to '¬p ∧ ¬q'.
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Start by breaking each term down.
Question 6.
Evaluate if 'p → q' and '¬q → ¬p' are logically equivalent using truth tables.
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Construct truth tables for both implications and compare.

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