Question

resolva as inequaçoes
primeira

(x-5).(x+7)>0

segunda

(2 x-3).(1-x)<0

Answer 1

a) $x^{2} +7x -5x-35 >0$
$x^{2} +2x -35>0$
a= 1 b= 2  c= - 35
Δ= 4+ 140
Δ= 144
x.> (-2 -12)/2
x>-7 
x> (-2 +12)/2
x> +10/2
x> 5
{-8, -7, ...} e { +6,+7,...}

b) 2x-$2x^{2}$ -3 +3x <0
-$2x^{2}$ + 5x -3 <0
Δ=1
x< (-5-1)/-4
x<-6/-4
x<3/2
 x< (-5 +1)/-4
x< -4/-4
x<+1