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2017-09-03
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1,x²-5x-24≥0,(x-8)(x+3)≥0,x∈(-∞,-3]U[8,+∞),
2,-12x²+5x+2<0,12x²-5x-2>0,(4x+1)(3x-2)>0,
x∈(-∞,-1/4)U(2/3,+∞),
3,x³+x²+x+1>0,x²(x+1)+(x+1)>0,(x²+1)(x+1)>0,
x∈(-1,+∞),
4,(x²-3x+2)/(x²-4x-5)≤0,(x-1)(x-2)/(x-5)(x+1)≤0,
x∈(-∞,-1)U[1,2]U(5,+∞),
5,(3x+2)/(-x+1)≤3,(3x+2+3x-3)/(x-1)≥0,(6x-1)/(x-1)≥0,
x∈(-∞,1/6]U(1,+∞),
6,|3-2x|≤7,-7≤2x-3≤7,x∈[-2,5],
7,|x-1|<√(x+1),(x-1)<x+1,且x+1≥0,x²-2x+1<x+1,且x≥-1,
x∈(0,3),
8,|2x+1|≥3,2x+1≤-3,或2x+1≥3,
x∈(-∞,-2]U[1,+∞)
2,-12x²+5x+2<0,12x²-5x-2>0,(4x+1)(3x-2)>0,
x∈(-∞,-1/4)U(2/3,+∞),
3,x³+x²+x+1>0,x²(x+1)+(x+1)>0,(x²+1)(x+1)>0,
x∈(-1,+∞),
4,(x²-3x+2)/(x²-4x-5)≤0,(x-1)(x-2)/(x-5)(x+1)≤0,
x∈(-∞,-1)U[1,2]U(5,+∞),
5,(3x+2)/(-x+1)≤3,(3x+2+3x-3)/(x-1)≥0,(6x-1)/(x-1)≥0,
x∈(-∞,1/6]U(1,+∞),
6,|3-2x|≤7,-7≤2x-3≤7,x∈[-2,5],
7,|x-1|<√(x+1),(x-1)<x+1,且x+1≥0,x²-2x+1<x+1,且x≥-1,
x∈(0,3),
8,|2x+1|≥3,2x+1≤-3,或2x+1≥3,
x∈(-∞,-2]U[1,+∞)
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