Question

Solve the system of two linear inequalities graphically.S 7x + 7y < - 49xZ-2{Step 2 of 3: Graph the solution set of the second linear inequality.AnswerKeypadKeyboard ShortcutsThe line will be drawn once all required data is provided and will update whenever a value is updated. Theregions will be added once the line is drawn.101Choose the type of boundary line:Dashed (-O Solid (-) O--)55Enter two points on the boundary line:X10-510Select the region you wish to be shaded:5ОСOD40Submit a

Answer 1

We must solve graphically the following system of inequalities:

`\begin{gathered} 7x+7y<-49, \\ x\ge-2. \end{gathered}`

The question asks about the second linear inequality:

`x\ge-2.`

This inequality represents all the points with x-coordinate equal to or higher than -2. Plotting these points, we get the following graph:

From the graph we see that:

• The type of boundary line is ,solid (-), because the inequality has a ≥ sign,

,

• Two points of the boundary line are: ,(-2, 0),, ,(-2, 2),,

,

• the region that must be shaded is the region at the right,.

Answer

• Solid (-)

,

• (-2, 0), (-2, 2)

,

• the region that must be shaded is the region at the right.