10100 . 9- () (. 1955 .). 10 . , , , , 1087.

" ", "" " ". .
18.03.2013

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1...2...3 

3

x

> -2.

________________________

, . -2 .

3

x

+2 > 0.

3 + 2x

x

> 0.

-3/2, 0. :

: x ∈ (-∞ -3/2) ∪ (0; +∞).

: x ∈ (-∞ -3/2) ∪ (0; +∞).


x + 8 ≥ 54

7 - x

.

_________________________________

, .

x + 8 + 54

x - 7

≥ 0.

x2 + x - 2

x - 7

≥ 0.

(x - 1)(x + 2)

x - 7

≥ 0.

, -2, 1, 7 "", .. . .

: x ∈ [-2; 1] ∪ (7; +∞).


(x - 1)3(x - 2)2 ≤ 0.

____________________________

, 1, 2 .

, x ≤ 1. , 2 , .

: x ∈ (-∞ 1] ∪ {2}.


2 - x - x3 ≥ 0.

_______________________________

.

x3 + x - 2 ≤ 0

(x3 - 1) + (x - 1) ≤ 0

.

(x - 1)(x2 + x + 1) + (x - 1) ≤ 0;

(x - 1)(x2 + x + 2) ≤ 0;

, x, . , , , !

x - 1 ≤ 0;

x ≤ 1;

: x ≤ 1.


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