Question

resolva as inequações (2x-1).(-5x+10)<0

Answer 1

(2x-1).(-5x+10)<0 

p=2x-1  ...raiz=>2x-1 =0  ==>x=1/2 
a=2 > 0  ==>     p------------------------------(1/2)+++++++++++++++

q=-5x+10 ...raiz=>-5x+10=0 ==>x=2
a=-5 < 0 ==>  q+++++++++++++(2)---------------------------------

Estudo de sinais:
p-------------(1/2)+++++++++++++++
q++++++++++++++++++(2)----------
p/q----------(1/2)+++++++(2)-----------

Para (2x-1).(-5x+10)<0 

1/2  >  x   > 2   é a resposta