2/221a)(2x²+4x)(3x-x²)/(2x+5)³≤02x²(x+2)(x-3)/(2x+5)³≥0x=0 x=-2 x=3 x=-2,5 _ + _ _ + --------------(-2,5)-------[-2]------------[0]-------------[3]-----------------x∈(-2,5;-2] U [3;∞) U {0}b)(x+2)^4*(x+3)²/(x²-x+2)>0x=-2 x=-3 x²-x+2=0 D=1-8=-7<0⇒x-любоеx∈(-∞;-3) U (-3;-2) U (-2;∞)2.222a)(3x+7)(x-3)²/(x-5)(x+5)<0x=-2 1/3 x=3 x=5 x=-5 _ + _ _ +--------------(-5)----------(-2 1/3)---------(3)------------(5)-----------------x∈(-∞;-5) U (-2 1/3;5) U (3;5)b)(x²-2x-1)/(2x-5)(x+2)²≤0x²-2x-1=0 D=4+4=8 x1=1-√2 x2=1+√22x-5=0⇒x=2,5x-3=0⇒x=3 _ _ + _ +------------(-2)-------------[1-√2]----------[1+√2]----------(2,5)------------ x∈(-∞;-2) U (-2;1-√2] U [1+√2;;2,5)2,223a)1/(x+3)-1/(x-1)-1≤0(x-1-x-3-x²+x-3x+3)/(x+3)(x-1)≤0(x²+2x+1)/(x+3)(x-1)≥0(x+1)²/(x+3)(x-1)≥0x=-1 x=-3 x=1 + _ _ +-----------(-3)------------[-1]------------(1)----------------x∈(-∞;-3) U (1;∞) U {-1}b)2/(x-5)+1-2/(x+1)≥0(2x+2+x²+x-5x-5-2x+10)/(x-5)(x+1)≥0(x²-4x+7)/(x-5)(x+1)≥0x²-4x+7=0 D=16-28=-12<0⇒x-любое(x-5)(x+1)>0x=5 x=-1x∈(-∞;-1) U (5;∞)2,224a)(x-3)(2x+1)/x-(x+3)(x-1)/x<0(2x²+x-6x-3-x²+x-3x+3)/x<0(x²-7x)/x<0x(x-7)/x<0x-7<0,x≠0x<7,x≠0x∈(-∞;0) U (0;7)b)3x+(x-1)/(2x-1)-(2x²-1)/(2x-1)≥0(6x²-3x+x-1-2x²+1)/(2x-1)≥0(4x²-2x)/(2x-1)≥02x(2x-1)/(2x-1)≥02x≥0,x≠0,5x≥0,x≠0,5x∈[0;0,5) U (0,5;∞)2.226a)(x+1)(x+2)/(x²+7x+12) -1≤0(x²+2x+x=2-x²-7x-12)/(x²+7x+12)≤0(5x+10)/(x²+7x+12)≥05x+10=0⇒x=-2x²+7x+12=0 x1+x2=-7 U x1*x2=12⇒x1=-4 U x2=-3 _ + _ +-------------(-4)-----------(-3)-----------[-2]--------------x∈(-4;-3) U [-2;∞)b)(x²+3x-13)/(x+3)(x-2)-2>0(x²+3x-13-2x²+4x-6x+12)/(x+3)(x-2)>0(x²-x+1)/(x+3)(x-2)>0x²-x+1=0 D=1-4=-3⇒x-любое(x+3)(x-2)>0x=-3 x=2x∈(-∞;-3) U (2;∞)