Question

Solve the system of two linear inequalities graphically.{y < 6y<6lyz4y = - 4Step 1 of 3: Graph the solution set of the first 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.HOA10Choose the type of boundary line:Dashed -O Solid (-) O--)$Enter two points on the boundary line:10-55OOOSelect the region you wish to be shaded:SОАOB101

Answer 1

From the problem, we have :

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

For the first inequality, y < 6

Since the symbol is "<", the type of boundary line is dashed line

The boundary line is at y = 6 which has points (0, 6) and (2, 6)

and the region is going downwards.

The graph will be :

For the second inequality, y ≥ -4.

Since the symbol is "≥", the type of boundary line is solid line

The boundary line is at y = 4 which has points (0, -4) and (2, -4)

and the region is going upwards.

The graph will be :