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1. Use full-truth table method to check if the following argument is valid -p•(qv-I), (p=q). (qvr)>p 1: p=(-q=r) 2. Use short-cut truth table method to check if the following argument is valid p=(r v (p.-9). [=(qv(re-p)) 1:9= (pv (q.-1))
QUESTION 2 a. Let p and q be the statements. i Construct the truth table for (-p V q) ^ q and (-p) v q. What do you notice about the truth tables? Based on this result, a creative student concludes that you can always interchange V and A without changing the truth table. Is the student, right? ii. Construct the truth tables for (-p VG) A p and (-p) v p. What do you think of the rule formulated...
Find the dual of the equivalence without a truth table: p V (q → r) ≡ (p V q) → (p V r)
2. Construct a truth table for the statement: p q v r. ~r
~PVQ (Q -- P) → (PV) 7. Fill in the truth table for the statement below. Р Q ~P Q+P T T T F F T F F
SUPER-LONG TRUTH TABLE METHOD Determine the validity using the super-long truth table method. P>~Q,~Q>~(R&S):P>(~R&~S)
Please upload a picture of your work. For problems 1-3 complete the truth table for the following statements and determine if they are logically equivalent. For 4-6 use a truth table to determine if the argument is valid. 1.-(PAQ) and Pv-Q 2. P-Q and QP 3.P-Q and -PVQ 4.P-Q 5. ( PQ) - Q P 6. PvQ QR PVR FB I U
3.2.30 Construct a truth table for the given compound statement. (PV~q)^(paq) Fill in the truth table. р q (pv~q)^(paq) T T T F TI T חד LLL
Prove the following is a tautology (without using a truth table) [(p →q) (q + r)] → (p → r)
Use a truth table to determine whether the two statements are equivalent. (-p-9)^(-→-p) and -- Complete the truth table. р т q-p-9A(---)-P4-9 T T F T F F F Choose the correct answer below. о The statements are equivalent. The statements are not equivalent. O