Question

Solve the system of two linear inequalities graphically,S* >4y>= -6Step 1 of 3: Graph the solution set of the first linear inequalityAnswer PointsKeypadKeyboard ShortcutsThe line will be drawn once all required data is provided and will update whenever a value is updated. The regions will be added once the line is drawn.Enable Zoom/PanJAYChoose the type of boundary line:Solid (-) Dashed -Enter two points on the boundary line:51055Select the region you wish to be shaded:ОАOB

Answer 1

The Solution:

Given the system of inequalities below:

`\begin{gathered} x>4 \\ y\ge-6 \end{gathered}`

Graphing the inequalities, we have:

To choose the type of boundary line for the inequalities.

`Dashed\text{ \lparen....\rparen for x>4}`
`\text{ Solid \lparen-\rparen for y}\ge-6`

Enter two points on the boundary line.

For the inequality x>4:

`\begin{gathered} \left(4,-6\right)\text{ and} \\ \lparen10,-6) \end{gathered}`

For the second inequality, two points on the boundary line are:

`\begin{gathered} \left(4,-6\right)\text{ and} \\ \left(4,0\right? \end{gathered}`

The region to be shaded is region B as shown in my graph above (though I do not know how A and B are labeled in the given graph)