a)(x-3)(7-5x)+3-11x<-5(x-1)(x+3)+12x 7x-5x2-21+15x+3-11x < -5(x2+3x-x-3)+12x -5x2+11x-18 < -5x2-15x+5x+15+12x -5x2+11x-18 < -5x2+2x+15 11x-2x < 15+18 9x < 33 |:9 x < 33/9 x < 3 i 2/3 b)(2x-3)(3x+5)-(x+2)(6x-1) -1,5 c)3(x+5)(x-2)-5x/>(3x-1)(1+x)+5 3(x2-2x+5x-10)-5x /> 3x+3x2-1-x+5 3x2-6x+15x-30-5x /> 3x+3x2-1-x+5 -6x+15x-5x-3x+x />-1+5+30 2x /> 34 |:2 x /> 17 d)-2(3-x)(2x-1)-(3-2x)(-2x+4) > 3x-6 -2(6x-3-2x^2+x)-(-6x+12+4x^2-8x) > 3x-6 -12x+6+4x^2-2x+6x-12-4x^2+8x > 3x-6 -12x-2x+6x+8x-3x > -6-6+12 -3x > 0 |:(-3) x < 0
Rozwiązanie w załączniku.
a)(x-3)(7-5x)+3-11x<-5(x-1)(x+3)+12x 7x-5x2-21+15x+3-11x<-5(x2+3x-1x-3)+12x 7x-5x2-21+15x+3-11x<-5x2-15x+5x+15+12x 7x-5x2+15x-11x+5x2+15x-5x-12x<21-3-15 9x<3 /:9 x<1/3 b)(2x-3)(3x+5)-(x+2)(6x-1)-1,5 c)3(x+5)(x-2)-5x/>(3x-1)(1+x)+5 3(x2-2x+5x-10)-5x/>3x+3x2-2-1x+5 3x2-6x+15x-30-5x/>3x+3x2-2-1x+5 3x2-6x+15x-5x-3x-3x2+1x/>30-2 2x/>18 /:2 x/>9 d)-2(3-x)(2x-1)-(3-2x)(-2x+4)>3x-6 -2(6x-3-2x2+1x)+6x-12-4x2+8x>3x-6 -12x+6+4x2-2x+6x-12-4x2+8x>3x-6 -12x+4x2-2x+6x-4x2+8x-3x>-6-6+12 -3x>0 x>0
