Решите неравенства [latex] \frac{(4x-3) ^{2} }{7 x^{2} +3} \geq \frac{ x^{2} }{7 x^{2} +3} [/latex] [latex] \frac{3x-2}{4 x^{2} +9} \leq \frac{3x-2}{4 x^{2} +5} [/latex] [latex] \frac{4}{ x^{2} -4x} \leq \frac{1}{x-4} [/latex]

1) (4x-3)²/(7x²+3) ≥x²/(7x²+3) (4x-3)²/ (7x²+3) - x²/(7x²+3) ≥0 (15x²-24x+9)(7x²+3)≥0 x=1; x=3/5;  otvet:x∈(-∞;3/5]∪[1; +∞) 3)4/(x²-4x)≤1/(x-4) 4/(x(x-4)) - 1/(x-4) (4-x)/(x(x-4)) (4-x)(x(x-4))≤0 x≥4; x≤0; x≤4 otvet: x∈[0;4]∪[4;+∞) 2) (3x-2)/ (4x²+9) ≤ (3x-2)/(4x²+5) (3x-2)[4x²+5- 4x²-9]/ (4x²+9)(4x²+5) (8-12x)(4x²+9)(4x²+5)≤0 x≥2/3;  otvet:x∈[2/3;+∞)