Identify if Valid or Invalid argument P -P→-Q -P^ -R .. -PVR O Valid Argument O Invalid Argument ONeither valid nor invalid

sub: discrete

Are the following statement forms logically equivalent? p V q →~ p and pV ((p^ g)^ ~ g) O The statement forms are logically equivalent. O The statement forms are not logically equivalent.

Show that A-→ B, C→ D, (B v D)→ E,-E -(A v C) is a valid argument form.

define predicate by giving example?

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Determine if logical notation is tautology, contradiction, or contingency a. (pVq) (p →r)^(q → r) → r b. (p@q)^(pq) Upload your complete and neat solution.

6. Let S stand for the statement “Steve is happy" and G for “George is happy." What English sentences are represented by the following expressions? (a) (S v G) ^ (¬S v ¬G). (b) [S v (G ^ ¬S)] v ¬G. (c) S v [G ^ (¬S v ¬G)].

Let P stand for “the integer x is even,” and let Q stand for “x^2 is even.”Express the conditional statement Q -> P in English using (a) The “if then” form of the conditional statement (b) The word “implies” (c) The “only if” form of the conditional statement  (d) The phrase “is necessary for”  (e) The phrase “is sufficient for”

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