Question

plzz help.
How do I prove p∧(pvq)=p using laws of algebra of propositions

Answer 1

Do you have this theorem? Let A(x) be a statement involving x. If ~x ^ A(x) is always false, then A(x) = x.

If so, then notice ~p ^ p ^ (pvq) = FALSE, hence p ^ (pvq) = p.

Another way is ....

Answer 2

p∧(pvq) = (p^p) v (p^q)
= p v (p ^ q), because p^p = p
= p , because if p is false then both p and p^q are false.

Answer 3

pvq would have to be = 1

Answer 4

1/vq=p

Answer 5

1/vq=p
^
that is not a :P

Answer 6

Thanxxx a lott.

Answer 7

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Answer 8

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Answer 9

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Answer 10

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Answer 14

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Answer 16

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Answer 23

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Answer 26

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