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 #1
avatar+118723 
+5
Aug 4, 2015
 #4
avatar+262 
+5
Aug 4, 2015
 #1
avatar+130511 
+10

(x-2)(x²-1)>0

 

You have the correct idea, sabi92......there are various Algebra/Calculus techniques that might be employed here to assist in the sketching of this graph......however, they are a little difficult to explain concisely, so I'll just present the graph, here:  

 

 

Aug 4, 2015
 #74
avatar+118723 
0

Heureka 3/8/15

http://web2.0calc.com/questions/how-come-30-99-61-100-is-divisible-by-31#r4

 

\small{\text{$30 \equiv - 1 \pmod {31}$}}\\

\small{\text{ and $61 \equiv - 1 \pmod {31}$}}\\\\

\small{\text{$(-1)^{99} + (-1)^{100} \stackrel{?}\equiv 0 \pmod{31}$}}\\\\

\small{\text{$-1 + 1 \equiv 0 \pmod{31}$}}\\\\

 

OUTPUT

$$\small{\text{$30 \equiv - 1 \pmod {31}$}}\\
\small{\text{ and $61 \equiv - 1 \pmod {31}$}}\\\\
\small{\text{$(-1)^{99} + (-1)^{100} \stackrel{?}\equiv 0 \pmod{31}$}}\\\\
\small{\text{$-1 + 1 \equiv 0 \pmod{31}$}}\\\\$$

------------------------------------------

 

\stackrel{?}\equiv

OUTPUT

$$\stackrel{?}\equiv$$

.
Aug 4, 2015
 #2
avatar+102 
+5
Aug 4, 2015

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