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UnkleRhaukusBest ResponseYou've already chosen the best response.0
(a) \[\neg(\pi>3.2)\quad\longrightarrow\quad\pi\leq 3.2\](b) \[\neg (x < 0)\quad\longrightarrow\quad x\geq 0\](c) \[\neg(x^2 > 0)\quad\longrightarrow\quad x=0\] (d) \[\neg(x = 1)\quad\longrightarrow\quad x\neq 1\](e) \[\neg\neg \psi\quad\longrightarrow\quad \psi\]
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
its correct. except for imaginary x
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.0
so this is a more gerneral answer to c)\[\neg(x^2 > 0)\quad\longrightarrow\quad x\in\Im\]?
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
yup. but if it is mentioned that x is real, then x=0. else x belongs to imaginary.
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
sorry, x belongs to imaginary or x=0
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.0
\[\longrightarrow \Re(x)=0\]
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.0
im a bit confused, what if x is complex
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
but, if x is complex then u x^2 can be positive. yes,even i was thinking that. better assume x as real then x=0
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.0
maybe all i can do is this \[\neg(x^2 > 0)\quad\longrightarrow\quad x^2\leq0\]
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.0
what is the best answer for part (c)
 one year ago

Jemurray3Best ResponseYou've already chosen the best response.2
Typically when you're talking about statements of logic you work in real numbers for simplicity just to get the ideas of negation and implication and all that stuff down. I would mark (c) as correct. Furthermore, since complex numbers are not ordered, the symbols don't make sense for complex numbers, lending credence to the assumption that the quantities in question are real.
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.0
so i should leave it as i had it at the top of the page then ,
 one year ago
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