GNU Free Documentation License . .

: ,

, , (. ).

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  • a < b , a , b;
  • a > b , a , b.
  • a \neq b , a b.

. :

  • a \leqslant b , a b;
  • a \geqslant b , a b.

, , , :

  • a \gg b , a b.

, >,<,≠.

.

  • (x+1)^2+(x-1)^2\ge 2 , (x+1)^2+(x-1)^2\ge 0 .

, , :[1]

, ,  . . .

:
 18x < 414 , .
 2x^2-7x+6 > 0   , .
2^x > x+4   .

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ax^2+bx+c > 0  ax^2+bx+c < 0 , f(x) = ax^2+bx+c ( ).

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f_1(x)\cdot f_2(x)\cdot f_3(x)\cdot f_4(x)\cdot\ldots\cdot f_N(x) > 0 :

  • OX
  • (+, , - )
  • ,

-\infty, +\infty f_1(x), f_2(x), f_3(x), f_4(x) \ldots f_N(x).

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\sqrt{f(x)} < g(x)

\left\{\begin{matrix}  f(x) < g^2(x) \\ g(x) \geqslant 0 \\ f(x)\geqslant 0 \end{matrix}\right.

\sqrt{f(x)}>g(x)

\left[ \begin{matrix} 
\left\{\begin{matrix}  f(x)>g^2(x) \\ g(x) \geqslant 0\end{matrix}\right. \\ 
\left\{\begin{matrix}  g(x)<0 \\ f(x) > 0\end{matrix}\right.
\end{matrix}\right.

\sqrt{f(x)} < \sqrt{g(x)}

\left\{\begin{matrix}  f(x) < g(x) \\ f(x) \geqslant 0 \end{matrix}\right.

[]

\leqslant \geqslant .



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LaTeX
\leqslant U+2A7D Less-than or slanted equal to &#x2A7D; &#10877; \leqslant
\geqslant U+2A7E Greater-than or slanted equal to &#x2A7E; &#10878; \geqslant
\le U+2264 Less-than or equal to &#x2264; &#8804; &le; \le, \leq
\ge U+2265 Greater-than or equal to &#x2265; &#8805; &ge; \ge, \geq


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  1. . .  « », ., 1974

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