Question

In order to graph the inequality using a graphing calculator, tell what function to enter for the boundaryline, whether the graph should be shaded above or below the line, and if the boundary line is included inthe solution.21 + 3y>2The boundary line is given by the function y-The graph is shaded (select) the line, and the boundary line (select) included in the solution.

Answer 1

We have the inequality:

$2x+3y>2$

The boundary line is the equation with the equal sign:

$\begin{gathered} 2x+3y=2 \\ We\text{ isolate y:} \\ 3y=2-2x \\ y=-\frac{2}{3}x+\frac{2}{3} \end{gathered}$

The graph is shaded above the boundary line, an the boundary line in not included in the solution, becuase the sign greater than.