Question

InequalitiesDONALD VANQuestion 9 of 9, Step 2 of 321/27CorrectSolve the system of two linear inequalities graphically,s 2y < 8 - 168y 2 - 7x + 56Step 2 of 3 : Graph the solution set or the second linear inequalityAnswerKeyThe 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/PanChoose the type of boundary line:Solid (-) Dashed (...Enter two points on the boundary line:510Select the region you wish to be shaded:

Answer 1

Step-by-step explanation

Since we have the system of inequalities:

`2y<8x-16\text{ \lparen1\rparen}`
`8y≥-7x+56`

Isolating y from (1):

`y<4x-8`

Simplifying:

`y<4\left(x-2\right)`

Isolating y for the second equation:

`\mathrm{Divide\:both\:sides\:by\:}8`
`(8y)/(8)\ge \:-(7x)/(8)+(56)/(8)`

Simplifying:

`y\ge (-7x+56)/(8)`
`=\begin{bmatrix}y<4\left(x-2\right)\\ y\ge (-7x+56)/(8)\end{bmatrix}`

Plotting the graph:

For the second inequality, we can set the following points:

(2,0) and (3,4)