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For these questions, please show all the work/derivations and laws used in full

ID: 3877165 • Letter: F

Question

For these questions, please show all the work/derivations and laws used in full too. Thank you so much.

(3 marks) How many rows appear in the truth table for each of the following compound propositions? All lowercase letters are propositions. 3. (10 marks) Construct truth tables for each of the following compoun a column for all statements used in the compound proposition, ie -q should be a column in 4. d propositions. Include (a) (p q ) v ( p ^q) 5. (10 marks) Determine whether the following statements are valid. Demonstrate how you derived the result. (a) ( p ^ q ) (p V q ) is a tautology. ( p q) ^ q ^ p) is contradiction 6. (10 marks) Using the laws of propositional logic, determine whether the following statements are logically equivalent:

Explanation / Answer

If you post more than 1 question as per chegg guidelines I ahave to solve only 1 question.

4.

(a)

(b)

p q p<->q p ^ q ( p <-> q ) v ( p ^ q ) 0 0 1 0 1 0 1 0 0 0 1 0 0 0 0 1 1 1 1 1