Matemática
karladavi
14

Resolva as inequações determine o seguinte conjunto: 1 (a) (x-4) (x+2)>0 (b) (x+5) (x-2)>0 (c) (x+6) (x+4)<0 2 (a) X+2>0 -x-4>0 (b) 2x+8>0 3x+9>0 (c) 2x+5>x 3x+6>0 3 (a) 3x+6<0 x+3 (b) 3x+3 -x-3 (c) x+3>0 -x-3 (d) 2x+8<0 x+2

+1
(1) Respostas
higorpereira17

1.-) a)(x-4)(x+2)>0 x^2 +2x - 4x - 8 > 0 x^2 - 2x - 8 > 0 (x-4)(x+2)>0 x1 - 4 > 0》x1 = 4 x2 + 2 > 0》x2 = - 2 b) (x+5)(x-2)>0 x^2 - 2x + 5x - 10 > 0 x^2 - 3x - 10 > 0 (x-5)(x+2)>0 x1 - 5 > 0》x1 = 5 x2 + 2 > 0》x2 = - 2 c) (x+6)(x+4)<0 x^2 + 4x +6x + 24 < 0 x^2 + 10x + 24 < 0 (x+6)(x+4)<0 x1 + 6 < 0》x1 = - 6 x2 + 4 < 0》x2 = - 4 2.-) a) x+2>0 -x-4>0 ------------- x > -2 -x > 4 (-1)》x > -4 b)2x+8>0 3x+9>0 -------------- 2x>-8》x>-8/2》x>-4 3x>-9》x>-9/3》x>-3 c) 2x+5>x 3x+6>0 -------------- 2x-x>-5》x > -5 3x>-6》x > -6/3》x > -2 3.-) a) 3x+6<0 x+3<0 -------------- 3x<-6》x<-6/3》x<-2 x<-3 b) 3x+3=0 -x-3=0 ---;----------; 3x=-3》x=-3/3》x=-1 -x=3 (-1)》x=-3 c) x+3>0 -x-3>0 ------------- x>-3 -x>3(-1)》x=-3 d) 2x+8<0 x+2<0 ---;;---------;- 2x<-8》x<-8/2》x<-4 x<-2

Adicionar resposta