Chapter 2.8, Problem 30PPS

To determine

Plot a graph.

Answer to Problem 30PPS

  

Explanation of Solution

Given information:

Graph each inequality.

  $y\ge 〚x〛$

Calculation:

Consider

  $y\ge 〚x〛$

The boundary of the graph is the graph of $y\ge 〚x〛$ . So the inequality symbol is $\ge$ , the boundary is solid.

Test the point $\left(0,0\right)$ .

  $\begin{array}{l}y\ge 〚x〛\\ 0\ge 〚0〛\\ 0=0\end{array}$

The region that contains $\left(0,0\right)$ is shaded.

Use maple to graph $y\ge 〚x〛$ ;