Question

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

Answer 1

`\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)`

Answer: 2) E, F, G