• Matéria: Matemática
  • Autor: rafaelacvieira
  • Perguntado 9 anos atrás

Determine o conjunto solução de cada inequação 

a) (x-3) . (2-x) > 0
b) (3x-6) . (2-4x) > 0
c) (-x+2) . (-3x-9) < 0

Respostas

respondido por: emilyprinnce
1
Olá Rafaela!

Para resolver as inequções do 1 grau é só igualar cada uma delas a 0 e determinar o intervalo...

x-3&gt;0 \\ x&gt;3 \\  \\ 2-x&gt;0 \\ -x&gt;-2*(-1) \\ x&lt;2
________________3___________
______________2______________

Letra A....S=]2,3[

llllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll
llllllllllllllllllllllllllllllll

3x-6&gt;0 \\ 3x&gt;6 \\ x&gt;6/3 \\ x&gt;2 \\  \\ 2-4x&gt;0 \\ -4x&gt;-2*(-1) \\ 4x&lt;2 \\ x&lt; \frac{1}{2}

______________2____________
___________1/2________________

Letra B..S=] \frac{1}{2},2 [

lllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll

-x+2&lt;0 \\ -x&lt;-2*(-1) \\ x&gt;2 \\  \\ -3x-9&lt;0 \\ -3x&lt;9 \\ -x&lt;9/3 \\ -x&lt;3*(-1) \\ x&gt;-3

______________2____________
__-3_________________________

Letra C...S=]-3,2[

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