Найдите целые решения неравенства:
1) (х-1)(х+1) ≤ 0
2) 2+x-x^2 ≥ 0
3) -x^2-5x+6 > 0
4) 3x^2-7x+2 < 0
1) (х-1)(х+1) ≤ 0
2) 2+x-x^2 ≥ 0
3) -x^2-5x+6 > 0
4) 3x^2-7x+2 < 0
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Verified answer
(x-1)(x+1)≤0+ - +
-----------|----------------|---------------x
-1 1
x∈[-1;1]. x=-1;0;1
2. 2+x+-x²≥0. -(x-1)(x+2)≥0
- + -
---------|-----------|------------- x
-2 1
x∈[-2;1]. x=-2;-1;0;1
-x²-5x+6>0. -(x-1)(x+6)>0
- + -
------------|------------|------------------- x
-6 1
x∈(-6;1). x=-5;-4;-3;-2;-1;0
3x²-7x+2<0. 3(x-2)(x-1/3)<0
+ - +
--------------|------------|---------------------- x
1/3 2
x∈(1/3;2), x=1