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Discrute math ..................................................................

ID: 3843612 • Letter: D

Question

Discrute math

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Assume the propositions p, q, r, and s have the following truth values: p is false q is true r is false s is true What are the truth values for the following compound propositions? (a) (b) p vr (c) q AS (d) q v s (e) q S (f) q

Explanation / Answer

a)true
b)false
c)true
d)true
e)false
f)true

a)false inclusive or(+) true = true
b)false inclusive or(+) false = false
c)false inclusive or(+) true = true
d)false inclusive or(+) true = true
e)true inclusive or(+) true = false

a)true and false = false
b)true or false = true
c)false or ~(false) = false or true = true
d)true and (true or false) = true and true = true
e)~(true) or true = false or true = true

a)true or ~(true) = true or false = true
b)(true and true) or false = true or false = true
c)true and (true or false) = true and true = true
d)true and ~(true or false) = true and ~(true) = true and false = false
e)~(true and true and ~(false)) = ~(true and true and true) = ~(true) = false
f)~(true and ~(true and false)) = ~(true and ~(false)) = ~(true and true) = false


a) I am not going to a movie tonight.
b) I am going to a movie tonight and I am going to the party tonight.
c) I am going to a movie tonight.
d) I am not going to a movie or the party tonight.
e) I am not going tonight.


a) p v q v r v s v t means p or q or r or s or t so if one proposition is true then this proposition is true here.
b) p and q and r and s and t so if all propositions are true then only proposition is true.

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