True or False 1. To disprove ∃xP(x), provide an example for which P(x) is false for at least one x.  2. Let F(x,y): x can fool y where D = set of all Filipinos. Then, "Marc cannot fool everybody." is the same as ∀y(~F(Marc,y)). 3. (p⇒q) implies p⇒(q∨r) by Addition. 4. (p⇒q) implies p⇒(q∨r) by Addition.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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True or False

1. To disprove ∃xP(x), provide an example for which P(x) is false for at least one x. 

2. Let F(x,y): x can fool y where D = set of all Filipinos.
Then, "Marc cannot fool everybody." is the same as ∀y(~F(Marc,y)).

3. (p⇒q) implies p⇒(q∨r) by Addition.

4. (p⇒q) implies p⇒(q∨r) by Addition.

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