The equation given is,
[tex]y<2x+7[/tex][tex]y\ge-5x-4[/tex]Finding the coordinates,
[tex]y=2x+7[/tex][tex]y=-5x-4[/tex]Solve the equation by elimination.
[tex](2x+7)=(-5x-4)[/tex][tex]7x=-11[/tex][tex]x=\frac{-11}{7}[/tex]Substitute the value of x , to get y
[tex]y=\text{ 2}\times\frac{-11}{7}+7[/tex][tex]y=3.857.[/tex]The graph shown as,
The other points are ,
At x equals to zero,
[tex]y=-5(0)-4[/tex][tex]y=-4.[/tex]At y equals to 0,
[tex]0=-5x-4[/tex][tex]5x=-4[/tex][tex]x=-0.8.[/tex]The above points are the corner points of the graph as shown below .
The shaded area shown is the solution of the given inequalities.
