Chapter 7.4, Problem 2E

Solution

To match: The inequality with the graphs and indicate whether the boundary is included or excluded from the graph.

Graph (f); Boundary is excluded from the graph.

Given Information:

The inequality is $y>2$ .

Explanation:

Consider the given inequality, $y>2$ .

Write the equation of the given inequality by replacing the sign “ $>$ ” with the “ $=$ ”. The inequality sign $>$ will indicate that the graph should be drawn with a dashed line.

The obtained equation will be $y=2$ . Now the graph of $y=2$ will be a horizontal line.

Draw the graph of $y>2$ .

  

The graph of $y>2$ is the graph consisting of all the points on and above the horizontal line $y=2$ .

Therefore, the given inequality matches with the graph (f) and boundary is excluded from the graph.