Question

(2x + 1) . (- x +2)≥0

Answer 1

Resposta:

(2x + 1) . (- x +2)≥0

p=2x+1  ..raiz =-1/2   ..a=2>0   ...função crescente   ------+++++

p------------------------------(-1/2)+++++++++++++++++++++++++++++

q=-x+2 ..raiz=2  ...a=-1<0 ...função decrescente   +++++---------

q++++++++++++++(2)-----------------------------

Estudo de sinais:

p---------------------(-1/2)+++++++++++++++++++++++++++++

q++++++++++++++++++++++++++(2)-----------------------------

p/q-----------------(-1/2)++++++++++(2)-----------------------------

-1/2 ≤ x ≤2

ou

[-1/2 ;  2]