Question

Graph the solution to the following system of inequalities.y<2x +7y? -5x-48-6+2-25

Answer 1

The equation given is,

`y<2x+7`
`y\ge-5x-4`

Finding the coordinates,

`y=2x+7`
`y=-5x-4`

Solve the equation by elimination.

`(2x+7)=(-5x-4)`
`7x=-11`
`x=(-11)/(7)`

Substitute the value of x , to get y

`y=\text{ 2}*(-11)/(7)+7`
`y=3.857.`

The graph shown as,

The other points are ,

At x equals to zero,

`y=-5(0)-4`
`y=-4.`

At y equals to 0,

`0=-5x-4`
`5x=-4`
`x=-0.8.`

The above points are the corner points of the graph as shown below .

The shaded area shown is the solution of the given inequalities.