Question

(x + 1)(x − 2)(x + 3) ≥ 0

Answer 1

Resposta:

(x + 1)*(x − 2)*(x + 3) ≥ 0

p=x+1  ==>raiz=-1   ==>a=1>0  é crescente

p----------------------------(-1)+++++++++++++++++++++++

q=x-2 ==>raiz=2 ==>==>a=1>0  é crescente

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

r=x+3==>raiz=-3 ==>==>a=1>0  é crescente

r----------------------------(-3)++++++++++++++++++++++

Estudo de Sinais:

p------------------------------(-1)+++++++++++++++++++++++

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

r------------------(-3)++++++++++++++++++++++++++++++

p*q*r------------(-3)++++(-1)-----------(2)++++++++++++++

[-3,-1] U [2,+∞)  é a resposta

Answer 2

Resposta:

S = { x ∈ IR/ -3 ≤ x ≤ -1 ou x ≥ 2}

Explicação passo a passo:

Raízes

x =1 = 0

x = -1

x - 2 = 0

x = 2

x + 3 = 0

x = -3

..............................-3..................-1...................2.....................

____________________________________________

x + 1         -             -           -         0        +         +         +

____________________________________________

x - 2         -             -           -          -         -          0        +

_____________________________________________

x+3          -             0          +         +        +          +        +

_____________________________________________

Prod.      -              0          +         0        -          0         +

_____________________________________________

...............................-3_________-1 ..................2__________