PLEASE SHOW WORK, NO BLURRY IMAGES, ANSWER ALL 4 QUESTIONS FOR POINTS 3) Complet

Question

PLEASE SHOW WORK, NO BLURRY IMAGES, ANSWER ALL 4 QUESTIONS FOR POINTS

3) Complete the truth table for pVq p pVg p Explain how the truth table shows us thatpVq p is a tautology, a contingency, or an absurdity. Also explain how the truth table allows you to descredit the other two possiblities For problems 1-3, state whetherthe argument given is valid or not. Write the argument symbolically. For example, ofthe form (p-q)A q 1) f the TV is on sale I will buy the TV The TV is not on sale I will not buy the TV 2) If the TV is on sale or l can finance it, l will buy the TV. I cannot finance the TV I will not buy the TV 3) The TV is not on sale or l will buy it The TV is on sale I will buy the TV 4) Prove that if ns is odd, then n is odd. 5) Consider the fact (0.59 0.25 and 0.25

Explanation / Answer

1)

given

p->q

~p->~q

2)

given (p v q)->r

~q->~r

3)

given ~p V q

p->q

4)

using

multiply of odd number to odd number is always odd

and mutiply of even number to even number is alway even

if n is odd then n^2=odd * odd=odd and n^3=n*n^2=odd*odd=odd

on the opposite if n is even then n^2 is even and n^3 is also even

=> if n^3 is odd then n is odd

5)

statement is false as

for any x >1 this statement is false for e.g

x=2

x^2=4

=>4>2

=>disproved

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