Question

Solve the system of two linear inequalities graphically.ſ y y - 3x > 6.y > 2>2Step 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--)Enter two points on the boundary line:X10---5-510Select the region you wish to be shaded:ОСOD

Answer 1

Given: Two inequalities below

`\begin{gathered} y-3x>6 \\ y>2 \end{gathered}`

Callculate the y intercept for equation 1

`\begin{gathered} y-3x>6 \\ \text{make x= 0} \\ y-3(0)=6 \\ y=6 \\ \text{The coordinate of the y-intercept is } \\ (0,6) \end{gathered}`

Calculate the x-intercept of equation 1

`\begin{gathered} y-3x>6 \\ \text{make y = 0} \\ 0-3x=6 \\ x=(6)/(-3)=-2 \\ \text{The coordinate of the x-axis is } \\ (-2,0) \end{gathered}`

The graph below showed the solution of the inequalities

The graph above showed the solution of inequalities

y>2 with coordinate (0, 2) is a horizontal line with dash lines

The coordinate of y-3x> 6 is a traight line with dash lines

The solution is as shown in the diagram above