Question

1. Resolva as inequações apresentadas a seguir.
a) (5x + 2) • (2 - x) • (4x + 3) > 0

Answer 1

Resposta:

a(1o_4•(4_x)•(8x+6)=0

Answer 2

q=5x+2 ... raiz =-2/5    ....a=5 >0

q-----------------------(-2/5)+++++++++++++++++++

p=2-x  ..raiz=2   ...a=-1<0

p++++++++++++++(2)------------------------------------

r=4x+3  ...raiz=-3/4 ...a=4>0

r------------------------(-3/4)++++++++++++++++++++++

Estudo de sinais:

q-----------------------------------(-2/5)+++++++++++++++++++++

p++++++++++++++++++++++++++++++++(2)---------------------

r-------------------(-3/4)++++++++++++++++++++++++++++++

q*p*r++++++++(-3/4)-------(-2/5)++++++(2)------------------------

Resposta:

(-∞,-3/4] U [-2/5 , 2]   ou   x ≤ -3/4   e -2/5 ≤  x  ≤ 2