Proszę o rozwiązanie równań i nierówności podanych w załączniku, chcę tylko sprawdzic czy wszystko dobrze robie :)

482. [latex](x-2)^2+ frac{x+4}{3} extless (x-4)(x+4)- frac{2}{3} \ x^2-4x+4+ frac{1}{3}x+ frac{4}{3} extless x^2-16- frac{2}{3} \ x^2-4x+4+ frac{1}{3}x+ frac{4}{3}-x^2+16+ frac{2}{3} extless 0 \ x^2-x^2-4x+frac{1}{3}x+4+ frac{4}{3}+16+ frac{2}{3} extless 0 \ -frac{11}{3} x+22 extless 0 \ -frac{11}{3} x extless -22 \ 11 x extgreater 66 \ x extgreater 6[/latex] 483. [latex](x-2)^2+(3x+1)(x-1) extgreater (2x-1)(2x+1)-20 \ x^2-4x+4+3x^2-3x+x-1 extgreater 4x^2-1-20 \ x^2-4x+4+3x^2-3x+x-1-4x^2+21 extgreater 0 \ x^2+3x^2-4x^2-4x-3x+x+4-1+21 extgreater 0 \ -6x+24 extgreater 0 \ 24 extgreater 6x \ 4 extgreater x \ x extless 4[/latex] 484. [latex] (frac{3x-1}{2})^2-(x+1)^2 extless frac{5}{4}(x-2)(x+2)-(3 frac{1}{2})^2 \(1,5x^-0,5)^2-x^2-2x-1 extless frac{5}{4}(x^2-4)-(3,5)^2 \ 2,25x^2-1,5x+0,25-x^2-2x-1 extless 1,25x^2-1,25*4-12,25 \ 2,25x^2-1,5x+0,25-x^2-2x-1-1,25x^2+1,25*4+12,25 extless 0 \ 2,25x^2-x^2-1,25x^2-1,5x-2x+0,25-1+1,25*4+12,25 extless 0 \ -3,5x+16,5 extless 0 \ 16,5 extless 3,5x \ frac{33}{7} extless x \x extgreater frac{33}{7}[/latex] 494. [latex]0,75- frac{2(x-3)}{2} extless - frac{3}{4}(x-2)+3 \ 0,75-x+3 extless -0,75(x-2)+3 \ 3,75-x extless -0,75x+1,5+3 \ 0 extless x-0,75x+1,5+3-3,75 \ 0,25x+0,75 extgreater 0 \ x+3 extgreater 0 \ x extgreater -3[/latex] 466. [latex] frac{x+2}{2}+(x-1)(x+1) extgreater 1+(x-4)^2 \0,5x+1+x^2-1 extgreater 1+x^2-8x+16 \0,5x+x^2 extgreater x^2-8x+17 \ 0,5x+x^2-x^2+8x-17 extgreater 0 \ 8,5x-17 extgreater 0 \ 8,5x extgreater 17 \ x extgreater 2[/latex] 467. [latex](x-2)^2+1 extless frac{x-8}{3} +(x-1)(x+1) \ x^2-4x+4+1 extless frac{1}{3}x-frac{8}{3}+x^2-1 \ x^2-4x+5-frac{1}{3}x+frac{8}{3}-x^2+1 extless 0 \ -4x-frac{1}{3}x+5+frac{8}{3}+1 extless 0 \ -frac{13}{3}x+frac{26}{3} extless 0 \ 26 extless 13x \ 2 extless x \ x extgreater 2[/latex] 468. [latex] frac{(2x+1)^2}{2}-(x-1)(x+1) geq 2+(x+2)^2 \ frac{4x^2+4x+1}{2}-x^2+1 geq 2+x^2+4x+4 \ 2x^2+2x+0,5-x^2+1-2-x^2-4x-4 geq 0 \ 2x^2-x^2-x^2+2x-4x+0,5+1-2-4 geq 0 \ -2x-frac{9}{2} geq 0 \ -frac{9}{2} geq 2x \ -2,25 geq x \ x leq -2,25[/latex]