Chapter CSB1.6, Problem 8E

To determine

To graph: The inequality $4x+y\ge 5$ .

Explanation of Solution

Given:

The inequality is $4x+y\ge 5$ .

Calculation:

First plot the equation of line $4x+y=5$ as follows:

Take some of points for the coordinates.

Consider x = 0,

  $\begin{array}{c}4\left(0\right)+y=5\\ y=5\end{array}$

Thus, the coordinate is (0, 5).

Consider x = 1,

  $\begin{array}{c}4\left(1\right)+y=5\\ y=1\end{array}$

Thus, the coordinate is (1, 1).

The graph of the equation can be drawn by joining these two coordinates as follows:

  

Now apply the inequality condition (greater than equal to) by shading the area above the line as follows: