fbpx

第四章:部分分式 Partial Fraction

第六章:角的形成及单位 Angles and Measurements

第十三章: 方程组 Simultaneous Equations

第十五章:二元一次不等式及线性规划 linear inequality in two variables and linear programming

15.2 二元一次不等式组 Binary Linear Inequalities
15.2 Binary Linear Inequalities 二元一次不等式组

(1)
By using the scale of 2cm to 2 units at each axis, draw and shade the region that satisfy the following inequalities
在每个轴以2cm 对 2 单位的比例,绘制和阴影满足以下联立不等式的区域
\left\{\begin{matrix}x\ \geq\ 2\\y\ <\ 10\\\begin{matrix}4y\ >\ 3x\\8x\ +\ 5y\ \le\ 80\\\end{matrix}\\\end{matrix}\right.

Answer:

(2)
According to the following diagram, write inequalities to define the shaded region.
根据下列的图像,试写出定义阴影部分的不等式组。

(a)

Answer:

y \leq 2x, 5x + 4y \leq 20, x + 2y \geq 4

(b)

Answer:

y > x, x + 4y < 20, 4x + y \geq 5

(c)

Answer:

y \geq 0, 3y \leq 5x, x + 2y \leq 10, x + y < 8

(d)
Answer:

y \geq -x + 4, y \leq -\frac{4}{9}x + 4, y \leq x, y \geq 0