1) 2(x+5)<2-2x</p>
3(2-x)=>3-x
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2x+10<2-2x</p>
6-3x=>3-x
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2x+2x<-10</p>
-3x+x=>3-6
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4x<-10 |:4 -------> x<-10\4, x<-5\2, x<-2.5</p>
-2x=>-3 | :(-2) ------->x<=3\2, x<=1.5</p>
Теперь рисуем:
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-∞________-2.5____1.5___
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xє(-∞;-2.5)
2) 3(x+8)>9-2x
3(x+4)=>x+5
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3x+24>9-2x
3x+12=>x+5
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3x+2x>9-24
3x-x=>5-12
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5x>-15 |:5 , x>-15\5 , x>-3
2x=>-7 |:2 , x=>-7\2, x>-3.5
рисуем:
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-∞____-3.5___-3__ + ∞
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xє(-3;+∞)