mathematics help
Calculus

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p>q is the same as "q or notp"
1.) False.
If for example p is false and q is true, then:
p>q is true,
BUT
neither "p is true" nor "q is false" is true.
2.) True.
By definition of p>q above.
3.) False.
If for examples p and q are both true, then:
p>q is true,
BUT
~(q>p) is false.
[Moral: Just because p>q does not mean that q cannot imply p. An easier example is when p and q are the same statement!]
4.) True.
If BOTH p and q are true, then both implications hold. If EITHER is false, say p is false, then p>q is automatically true. (Similarly, if q is false, then q>p is automatically true.)
5.) True.
This is a tautology. Let r = (p>q), then the statement becomes: r or ~r, which is always true.
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