afilippini45 afilippini45
  • 07-08-2018
  • Mathematics
contestada

2x + y < 10
2x - 4y > 8

1) e, f, g, h, j
2) e, f, g
3) a, c, d, k
4) a, e, f

2x y lt 10 2x 4y gt 8 1 e f g h j 2 e f g 3 a c d k 4 a e f class=

Respuesta :

gmany
gmany gmany
  • 07-08-2018

[tex] \left\{\begin{array}{ccc}2x+y < 10\\2x-4y > 8\end{array}\right \Rightarrow\left\{\begin{array}{ccc}y < -2x+10\\y < 0.5x-2\end{array}\right\\(1)\\y=-2x+10\\for\ x=0\to y=-2(0)+10=10\to(0;\ 10)\\for\ x=5\to y=-2(5)+10=0\to(10;\ 0)\\(2)\\y=0.5x-2\\for\ x=0\to y=0.5(0)-2=-2\to(0;\ -2)\\for\ x=4\to y=0.5(4)-2=0\to(4;\ 0) [/tex]

Answer: 2) E, F, G

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