Q2. - Algebra 2

Question

2. Give an example of a system of inequalities that from a bounded region.

Step-by-Step Solution

Answer

$y\ge 2,x\ge 1,andx+2y\le 9$ from a bounded region with vertices $A(1,4),B(1,2),C(5,2)$

Step 1-Take some random in equation

Let; take$y\ge 2,\text{ x}\ge \text{1, and x+2y}\le \text{9}$

Step 2-Apply the concept of plotting a point on graph paper

For$y\ge 2$$\begin{array}{cccc}x& 3& 2& 4\\ y& 2& 2& 2\end{array}$

For,$\text{x}\ge \text{1}$$\begin{array}{cccc}x& 1& 1& 1\\ y& 2& 3& 4\end{array}$

For$\text{x+2y}\le \text{9}$$\begin{array}{cccc}x& 9& 5& 1\\ y& 0& 2& 4\end{array}$

Step 3 –Identify the common region

We can see from graph that the region is bounded that is the feasible region is bounded. The vertices of Bounded region is$A(1,4),B(1,2),C(5,2)$