Chapter 3.BMO, Problem 1BMO

To determine

a)

Graphically the solution set for the system of inequality.

Answer to Problem 1BMO

Solution:

The graphical solution set for the system of inequality is

Explanation of Solution

Given:

$\begin{array}{l}2x+y\le 10\\ x+3y\le 15\\ x\le 4\\ x\ge 0,y\ge 0\end{array}$

Approach:

Consider the given inequalities and to draw the graph shown below.

Figure(1)

Conclusion:

Hence, the graphical solution set for the system of inequality is shown in Figure(1).

To determine

(b)

The graphical solution set for the system of inequality.

Answer to Problem 1BMO

Solution:

The graphical solution set for the system of inequality is

.

Explanation of Solution

Given:

$\begin{array}{l}2x+y\ge 8\\ 2x+3y\ge 15\\ x\ge 0\\ y\ge 2\end{array}$

Approach:

Consider the given inequalities and to draw the graph shown below.

Figure(2)

Conclusion:

Hence, graphical solution set for the system of inequality is shown in Figure(2).