Chapter 3.2, Problem 49HP

To determine

To find: the manual for placing a shade and timing of graphing a system of inequalities.

Answer to Problem 49HP

Where all inequalities combine is called the combination of inequalities and the shaded area.

Explanation of Solution

Given:

Graphing a system of inequalities.

Concept used:

Graphing the inequalities, it will graph the ordinary linear functions just like it is done before. The difference is that a solution to the inequality is not the drawn line but the area of the coordinate plane that satisfy the inequality.

The boundary line is dashed for $<\text{or >}$ and solid line for $\le \text{or }\ge$ .

The difference is that a solution to the inequality is not the drawn line but area of the coordinate plane that satisfy the inequality.

The common area is the solution of inequality.

Calculation:

Check where to shade, when the grpahing a system of inequalities is explained as follows:

First shade each inequality in its standard form, that is;

When, $y>$ shade the region above the line and when $y<$ shade the region below the line.

The solution for the inequality is the shaded area of the equations.

Hence, where all inequalities combine is called the combination of inequalities and the shaded area.