Question

Resolva a inequação: (URGENTE!)

(5x+2) (2-x) (4x+3) ≥ 0

Answer 1

(5x+2)(2-x)(4x+3)>0

(10x-6x+4-2x)(4x+3)>0

(2x+4)(4x+3)>0

(8x+6x+16x+12)>0

30x+12>0 Verdadeiro

Answer 2

Resposta:

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