a) 3x - x² ≥ 0 x(3 - x) ≥ 0 M. zerowe: x = 0 lub 3 - x = 0 x = 3 a < 0, to parabola zwrócona jest ramionami do dołu x ∈ < 0; 3 > b) (2x - 3)(3 - x) ≥ 0 M. zerowe: 2x - 3 = 0 --> x = 1,5 lub 3 - x = 0 --> x = 3 a < 0, parabola zwrócona ramionami do dołu x ∈ < 1,5; 3 > [latex]c)\(x-2)(x-5) leq 4\\x^{2}-5x-2x+10-4 leq 0\\x^{2}-7x+6 leq 0\\Delta = (-7)^{2}-4*1*6 = 49-24 = 25\\sqer{Delta} = 5\\x_1 = frac{-(-7)-5}{2*1} = frac{7-5}{2}=1\\x_2 = frac{-(-7)+5}{2*1} = frac{7+5}{2} = 6\\a > 0, parabola skierowana ramionami do gory[/latex] [latex]x in extless 1;6 extgreater [/latex]
