Rozwiąż nierównościa) b)
c)
d)
a)
2(x²-2x+1)-(x²+6x+9)≤x²-2x+1
2x²-4x+2-x²-6x-9-x²+2x-1≤0
-8x-8≤0
-8x≤8
x≥-1
x∈<1,+∞)
b)
x²+8x+16-(x²+2x+1)≥2x-2
x²+8x+16-x²-2x-1-2x+2≥0
4x+17≥0
4x≥-17
x≥-17/4
x∈<-17/4;+∞)
niepelne zadanie
x²-4x+4-(x²-25)>-4x-20
x²-4x+4-x²+25+4x+20>0
49>0
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a)
2(x²-2x+1)-(x²+6x+9)≤x²-2x+1
2x²-4x+2-x²-6x-9-x²+2x-1≤0
-8x-8≤0
-8x≤8
x≥-1
x∈<1,+∞)
b)
x²+8x+16-(x²+2x+1)≥2x-2
x²+8x+16-x²-2x-1-2x+2≥0
4x+17≥0
4x≥-17
x≥-17/4
x∈<-17/4;+∞)
c)
niepelne zadanie
d)
x²-4x+4-(x²-25)>-4x-20
x²-4x+4-x²+25+4x+20>0
49>0