35.11:
1) x²+16x+64-x²<=11x 3)144+24x+x²+21x <br>16x+64<=11x 144+24x>=21x
16x<=11x-64 24x>=21x-144
16x-11x<=-64 24x-21x>=-144
5x<=-64 3x>=-144
x<=-64/5 x>=-48
2)x²-(81-18x+x²)>2x 4) x²<625-50x+x²+25x <br>x²-81+18x-x²>2x 0<625-50x+25x<br>-81+18x>2x 0<625-25x <br>18x>2x+81 25x<625 <br>18x-2x>81 x<25<strong>
16x>81
x>81/16
35.13
1)...=1000+x³-x³-500<0<br> 1000-500x<0<br> -500x<-1000<br> x>2
2)...=-x³+675x-(3375+x³)>0
-x³+675x-3375-x³>0
-2x³+450x+225x-3375>0
-2x³+30x²-30x²+450x+225x-3375>0
-2x²*(x-15)-30x*(x-15)+225(x-15)>0
-(x-15)*(2x²+30x-225)>0
x∈(-∞,15+15√3/2)∪(-15+15√3/2*15)
3)...=169x-2197+13x²-169x+x³-13x²-x³-2262x≤0
-2197-2262x≤0
-2262x≤2197
x≥-169/174
4)...=1331x-x³+11x²-121x+1331+x³-11x²+121x≥0
1331x+1331≥0
1331x≥-1331
x≥1