Ответ(ы) на вопрос:
Гость 1а
(x-2)(x+2)/(x-3)<0
x=2 x=-2 x=3
_ + _ +
------------(-2)----------(2)-------------(3)---------------
x∈(-∞;-2) U (2;3)
1b
(x²-10x+25)/(x²-4x-12)≥0
(x-5)²/(x-6)(x+2)≥0
x1+x2=4 U x1*x2=-12⇒x1=-2 U x2=6
+ _ _ +
--------------(-2)-----------[5]-----------(6)--------------------
x∈(-∞;-2) U (6;∞) U {5}
2a
(x-2)(x-4)/(x+3)<0
x=2 x=4 x=-3
_ + _ +
------------(-3)----------(2)-------------(4)---------------
x∈(-∞;-3) U (2;4)
2b
(x²-8x+16)/(x²-3x-10)≥0
(x-4)²/(x-5)(x+2)≥0
x1+x2=3 U x1*x2=-10⇒x1=-2 U x2=5
+ _ _ +
--------------(-2)-----------[4]-----------(5)--------------------
x∈(-∞;-2) U (5;∞) U {4}
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